Question

36x²- 25 =
9x ²+6x +1=
4x³ -16x²+16x=
x³-4x²-x+4=
(x+5)²-(x-2)(x+5)=
(3x-4)²-(x+1)=
3(x+2)²+x²-4=
x²+7x-8=

Answer 1

36x²- 25 = (6x-5)(6x+5)
9x ²+6x +1= (3x+1)²
4x³ -16x²+16x=4x(x²-4x+4)=4x(x-2)²
x³-4x²-x+4=x(x²-1)-4(x²-1)=(x+1 )(x-1)(x-4)
(x+5)²-(x-2)(x+5)=(x+5)(x+5-x+2)=7(x+5)
(3x-4)²-(x+1)=9x²-24x+16-x-1=9x²-25x+15
3(x+2)²+x²-4=3(x+2)²+(x+2)(x-2)=(x+2)(3x+6+x-2)=(x+2)(4x+4)=4(x+2)(x+1)
x²+7x-8=x²+8x-x-8=x(x+8)-(x+8)=(x+8)(x-1)