1.а
(x+7)(x-2)= x²-2x+7x-14= x²+5x-14
1.б
(4c-d)(6c+3d)= 24c²+12cd-6cd-3d²= 24c²+6cd-3d²
1.в
(y+5)(y²-3y+8)= y³-3y²+8y+5y²-15y+40= y³+2y²-7y+40
2.a
y(a-b)+2(a-b)= (a-b)(y+2)
2.б
3x-3y+ax-ay= 3(x-y)+a(x-y)= (x-y)(a+3)
3.
xy(x+y)-(x²+y²)(x-2y)=x²y+xy²-(x³-2x²y+xy²-2y³)= x²y+xy²-x³+2x²y-xy²+2y³= 2y³+3x²y-x³
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Answers & Comments
Verified answer
1.а
(x+7)(x-2)= x²-2x+7x-14= x²+5x-14
1.б
(4c-d)(6c+3d)= 24c²+12cd-6cd-3d²= 24c²+6cd-3d²
1.в
(y+5)(y²-3y+8)= y³-3y²+8y+5y²-15y+40= y³+2y²-7y+40
2.a
y(a-b)+2(a-b)= (a-b)(y+2)
2.б
3x-3y+ax-ay= 3(x-y)+a(x-y)= (x-y)(a+3)
3.
xy(x+y)-(x²+y²)(x-2y)=x²y+xy²-(x³-2x²y+xy²-2y³)= x²y+xy²-x³+2x²y-xy²+2y³= 2y³+3x²y-x³