多项式分解因式:1,x^2-25x 2,x(a+b)+y(a+b) 3,1-9y^2 4,4a^2-12a+9,x^2+8x+12 6,(x-1)(x+3)+4
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![多项式分解因式:1,x^2-25x 2,x(a+b)+y(a+b) 3,1-9y^2 4,4a^2-12a+9,x^2+8x+12 6,(x-1)(x+3)+4](/uploads/image/z/5220315-27-5.jpg?t=%E5%A4%9A%E9%A1%B9%E5%BC%8F%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A1%2Cx%5E2-25x+2%2Cx%28a%2Bb%29%2By%28a%2Bb%29+3%2C1-9y%5E2+4%2C4a%5E2-12a%2B9%2Cx%5E2%2B8x%2B12+6%2C%28x-1%29%28x%2B3%29%2B4)
多项式分解因式:1,x^2-25x 2,x(a+b)+y(a+b) 3,1-9y^2 4,4a^2-12a+9,x^2+8x+12 6,(x-1)(x+3)+4
多项式分解因式:1,x^2-25x 2,x(a+b)+y(a+b) 3,1-9y^2 4,4a^2-12a+9
,x^2+8x+12 6,(x-1)(x+3)+4
多项式分解因式:1,x^2-25x 2,x(a+b)+y(a+b) 3,1-9y^2 4,4a^2-12a+9,x^2+8x+12 6,(x-1)(x+3)+4
1、x^2-25x=(X-25)X
2、x(a+b)+y(a+b)=(X+Y)(A+B)
3、1-9y^2 =(1+3y)(1-3y)
4,4a^2-12a+9=(2a-3)^2
5、x^2+8x+12=(x+2)(x+6)
6,(x-1)(x+3)+4=x^2 + 2x - 3 + 4 = (x+1)^2
1.
x^2 + 8x + 12
= (x+2)(x+6)
2.
(x-1)(x+3) + 4
= x^2 + 2x - 3 + 4
= x^2 + 2x +1
= (x+1)^2
X(x-25)
(a+b)(x+y)
(1-3y)(1+3y)
(2a-3)(2a-3)
x^2+8x+16-4=(x+4)^2-4=(x+4+2)(x+4-2)=(x+6)(x+2)
x^2-25x
=x(x-25)
x(a+b)+y(a+b)
=(x+y)(a+b)
1-9y^2
=(1+3y)(1-3y)
4a^2-12a+9
=(2a-3)^2
x^2+8x+12
=(x+6)(x+2)
(x-1)(x+3)+4
=x^2+2x-3+4
=x^2+2x+1
=(x+1)^2