Ответ:
Объяснение:
1. (b-3)(b+5)+(b-4)(b+7)=b²+2b-15+b²+3b-28=2b²+5b-43.
2. (2a-5)²-(2a+5)²=(2a-5+2a+5)(2a-5-2a-5)=4a*(-10)=-40a=-40*0,25=-10.
3. 7a²-14ab+7b²=7*(a²-ab+b²)=7*(a-b)².
4. 8x³+y³+4x²-2xy+y²=(2x)³+y³+4x²-2xy+y²=
=(2x+y)(4x²-2xy+y²)+4x²-2xy+y²=(4x²-2xy+y²)(2x+y+1).
5. (a-4)(a²+16)(a+4)=(a-4)(a+4)(a²+16)=(a²-16)(a²+16)=a⁴-256.
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Ответ:
Объяснение:
1. (b-3)(b+5)+(b-4)(b+7)=b²+2b-15+b²+3b-28=2b²+5b-43.
2. (2a-5)²-(2a+5)²=(2a-5+2a+5)(2a-5-2a-5)=4a*(-10)=-40a=-40*0,25=-10.
3. 7a²-14ab+7b²=7*(a²-ab+b²)=7*(a-b)².
4. 8x³+y³+4x²-2xy+y²=(2x)³+y³+4x²-2xy+y²=
=(2x+y)(4x²-2xy+y²)+4x²-2xy+y²=(4x²-2xy+y²)(2x+y+1).
5. (a-4)(a²+16)(a+4)=(a-4)(a+4)(a²+16)=(a²-16)(a²+16)=a⁴-256.