Mathematics
Senior High

(3)(4)の解き方を教えてください!

Answers

(3)  x³+ax²-x²-a
=(x³-x²)+(ax²-a)
=x²(x-1)+a(x²-1)
=x²(x-1)+a(x+1)(x-1)
=(x-1){x²+a(x+1)}
=(x-1)(x²+ax+a)

(4) 6x²+7xy+2y²+x-2
=6x²+(7y+1)x+(2y²-2)
=6x²+(7y+1)x+2(y²-1)
=6x²+(7y+1)x+2(y+1)(y-1)
たすき掛け
 2     (y-1)   → 3(y-1)      
 3     2(y+1) → 2×2(y+1) 
={2x+(y-1)}{3x+2(y+1)}
=(2x+y-1)(3x+2y+2)

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