Question

1. x+9=(x-3)^2
2.(4x-6)^2=(x-4)(x-9)
3.(5x-2)(3-x)=-6(1-x)(1+x)

Answer 1

1. x+9=(x-3)^2
x+9 = (x-3)(x-3)
x+9 = x²-3x-3x+6
x - x² +6x = 6 - 9
7x - x² = -3
2.(4x-6)^2=(x-4)(x-9)
(4x-6)(4x-6) = (x-4)(x-9)
16x² - 24x - 24x +36 = x² - 9x -4x + 36
16x² - x² - 48x + 13x = 0
-35x = 0 |: (-35)
x = 0
3.(5x-2)(3-x)=-6(1-x)(1+x)
15x-5x²-6+2x = -6(1 + x -x-x²)
17x - 5x² -6 = -6-6x+6x+6x²
17x - 5x² - 6x² = 0
x = 0