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数学 高校生

20と21の問題の途中式を教えてください🙌🏻´-できるだけ詳しくお願いします、、🙇🏻‍♀️‪‪´-

Bz) 3)(x+4) +2) 3 3)(3x+1) えたので, e 食料 (2) (a+b+c)²-(a−b-c)²-(a−b+c)²+(a+b_c\² 計算の順序を工夫したり、 項のまとめ方を工夫して、公式を利用する。 (1) 4つの因数の各定数項に注目すると,(-1)+3=(-2)+42 であるから。 (x-1)(x+3)(x-2)(x+4) と組み合わせて展開すると共通な式x+2xが現れ る。 (2) b+c=X, b-c=Y と考えると, 括弧の中はα と X, a とYの式で表すことが できる。 =(x+2x-3)(x+2x-8) 答 (1) 与式={(x-1)(x+3)}{(x-2)(x+4)} ={(x^²+2x)-3}{(x2+2x)-8} =(x+2x)*-11(x²+2x)+24 =x‘+4x+4x²-11x²-22x+24 =x*+4x³−7x²-22x+24 (2) 5={a+(b+c)}²-{a−(b+c)}²_{a~(b_c)}²+{a+(b−c)}² =a+2a(b+c)+(b+c)²-a²+2a(b+c)-(b+c)² =4a(b+c)+4a(b-c)=8ab 圏 □ 19 次の式を計算せよ。 *1)(x-1)(x-3)(x+1)(x+3) -a²+2a(b-c)-(b-c)²+a+2a(b-c)+(b-c)² 20 次の式を展開せよ。 (1) *(3) (a−b)(a+b)(a²+b²)(a²+b¹) *(4) (2x−y)³(2x+y)³ (5) (a+b)²(a−b)²(a²+a²b²+b¹)² *(6) (x+2)(x-2)(x²+2x+4)(x²-2x+4) *(7) (a+b+c)²+(a+b−c)²+(b+c¬a)²+(c+a−b)² 発展問題 (2)(x+2)(x+5)(x-4)(x-1) (x²+xy+y²)(x²−xy+y²)(x*—x²y²+y¹) (2)(x+y+1)(x+y-1)(x-y+1)(x-y-1) 第1章 数と式 セント 21 (1) α について整理してから展開する。 ごり □ 21 (1)(a+b+c)(a+b2+c^-ab-bc-ca)を展開せよ。 (2) (1) の結果を利用して, (x+y-1)(x^²-xy+y^+x+y+1)を展開せよ。

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英語 高校生

赤線の部分の訳と文構造が分かりません。 見ずらくてすいません🙇‍♂️

truly become between two independent individuals who fell in love and decided to make a life Such an important decision, perhaps the most important for themselves. decision of one's life, cannot be made by others. (1) sense. Marriage is But in many cultures it simply doesn't make fundamentally a social bond, uniting families and cementing their cultural and (イ) religious values. It may be romantic, but it is not just about the bride and groom; it's about family and community. Indeed, even in the West for most of history, marriage was not primarily about the individual needs and desires of a man and woman and the children they produced. Marriage had as ( ) to do with getting good in-laws and increasing one's resources and family labor force as it did with finding a lifetime companion and raising a beloved child. or Marriage spoke to the needs of the larger group. 3 Different traditions, different marriages. In India, over 90 percent of the (2) bemarriages are arranged. One survey in 2013 revealed that 74 percent of young 9 Indians aged between 18-35 years said that they would rather let their parents ad choose their life partners than choosing themselves. While the traditiona practice of arranged marriage has been illegal in China since the 1950s, parent remain heavily involved in their children's marital decisions, with many paren trying hard to persuade their children to get married by interrogating the (13) during family gatherings. In Japan, it was not until the early 1960s that le marriages outnumbered arranged ones. Arranged marriages can take a variety of forms ranging from fo marriages (where either the bride or the groom, or both, have no choice in matter) to consensual marriages (where the bride and groom have all 002 - 1

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英語 高校生

5つの下線部の正しい訳を教えて欲しです。 至急お願いします🚨🙇

Unit 12 Change the World Basic A few years ago, an obesity* researcher at the University of Washington-named Adam Drewnowski ventured into the supermarket to solve a mystery. He wanted to (1) figure out why (2)poor people were more likely to suffer from obesity in America. Obesity is, as you know, mainly caused by taking in too many calories. For most of history the poor have typically suffered from a shortage of calories, not an excess. So why do the people with the least amount of money to spend on food tend to be overweight today? 目 Drewnowski gave himself a dollar to spend, using it to purchase as many calories as he possibly could. He discovered that he could buy the most calories per dollar in the middle aisles of the supermarket, among the towering piles of* processed food and soft drinks. 3 Processed food is, in the broadest sense, any food that is changed from its natural, raw state. But here, it refers to food which has been chemically changed by using additives* such as flavors, colors, preservatives*, stabilizers*, etc., or which has been combined with other foods in a manufacturing process. Generally speaking, if the ingredients* aren't “natural,” then we consider it to be ( 3 ). Drewnowski found that a dollar could buy 1,200 calories of cookies or potato chips, which are typical processed foods, but only 250 calories of carrots. Looking for something to wash down those chips, he discovered that his dollar bought 875 calories of soda (a processed food) but only 170 calories of orange juice. 5 As a rule, processed foods are more “energy dense*” than fresh foods: they contain less water and fiber but more added fat and sugar, which makes them both (4)less filling and more fattening. 5 These particular calories also happen to be the least healthful ones in the marketplace, which is why we call the foods that contain them "junk*.” Drewnowski concluded that the rules of the food game in America are organized in such a way that if you are eating (6) on a budget, the most rational economic strategy is to eat badly-and get fat.

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数学 高校生

数Bの数列の漸化式の質問です。 解答の1行目の4an-1が0になったらいけないのに4an-1≠0を示す必要は無いんですか? 必要があるのならその示し方、必要が無い(そもそも示す必要がないor既に示されてることが明らか)のならそれが何故かを教えてください。

2,45\ ■方針。 ど, 着 両 法 階 「 例題 基本 4-3- 37 an+1= an+1 an+1= 2 an 4an-1 an pantg ① 漸化式の両辺の逆数をとると an panta のように、分子が an の項だけの分数形の漸化式の解法の手順は 1 an+1 1 = b とおくと bn+1=p+gbn an によって定められる数列{an}の一般項を求めよ。 4/5 漸化式 An+1= 練習 37 α=1, an+1= 型の漸化式 p.464 基本例題 34 と同様にして一般項6 が求められる。 また,逆数を考えるために, an=0(n≧1) であることを示しておく。 CHART 両辺の逆数をとる an-1=an-2=.....=a1=0 an 分数形の漸化式 αn+1 47 で扱っている。 3an an ①とする。 an+1=; 4an-1 答 ① において, an+1=0とするとa=0であるから, an=0 となるnがあると仮定すると 1 an panta 1 an+1 ところが α= (0) であるから,これは矛盾。 よって すべての自然数nについて an=0である。 ① の両辺の逆数をとると =4- = [類 早稲田大] ・基本 34 重要 46\ t bn+1=4-bn 1 an -=6m² とおくと bn+1-2=-(6-2) これを変形すると また b1-2=1-2=5-2=3 ar ゆえに,数列{bn-2} は初項 3,公比1の等比数列で bn-2=3.(-1)^-1 すなわち bn=3· (−1)"'+2 したがって =p+q ___1 bn3.(-1)"'+2 rants panta an bn+1=0b+の形に帰着。 $_$85 (0<1) +0+2=1 <=> an 05 an-1=0 これから an-2=0 以後これを繰り返す。 逆数をとるための十分条 件。 1 4an-1 an an+1 469 特性方程式 α=4-α から α=2 -87 によって定められる数列{an}の一般項を求めよ。 1 章 4 漸化式と数列 bn=1 という式の形か an 5 bn=0 (s≠0)の場合については, p.484, 485 の重要例題 46,

未解決 回答数: 1