Question

因式分解 a的平方+8a+16

-2x的4次方+32x的2次方 (a-2b)的平方-(2a+b)的平方 6(x-y)的2次方+3(y-x)的3次方 x的2次方(a-b)+4(b-a) 2x(x-3)+8 速度速度。

Answer 1

a的平方+8a+16
=a²+2×a×4+4²
=(a+4)²

-2x的4次方+32x的2次方
=-2x²(x²-16)
=-2x²(x+4)(x-4)
(a-2b)的平方-(2a+b)的平方
=[(a-2b)+(2a+b)][(a-2b)-(2a+b)]
=(a-2b+2a+b)(a-2b-2a-b)
=(3a-b)(-a-3b)
=-(3a-b)(a+3b)

6(x-y)的2次方+3(y-x)的3次方
=6(x-y)²-3(x-y)³
=3(x-y)²(2-x+y)

x的2次方(a-b)+4(b-a)
=x²(a-b)-4(a-b)
=(a-b)(x²-4)
=(a-b)(x+2)(x-2)
2x(x-3)+8
=2x²-6x+8
=2(x²-3x+4)

Answer 2

解
a²+8a+16=(a+4)²

-2x的4次方+32x²
=-2x²(x²-16)
=-2x²(x-4)(x+4)

(a-2b)²-(2a+b)²
=[(a-2b)+(2a+b)][(a-2b)-(2a+b)]
=(3a-b)(-a-3b)
=-(3a-b)(a+3b)

6(x-y)²+3(y-x)³
=6(y-x)²+3(y-x)³
=3(y-x)²[2+(y-x)]
=3(y-x)²(y-x+2)

x²(a-b)+4(b-a)
=x²(a-b)-4(a-b)
=(x²-1)(a-b)
=(x-1)(x+1)(a-b)

2x(x-3)+8
=2x²-6x+8
=2(x²-3x+4)