Question

c) (3x+2) (2x 3)-3(x-2)(2x-3) + 4x-5
d) (x+3)²+(x-4)² + 2(x-3) (x+3)
e) (3x-2)² + (2x+3)² + 3 (x-2)(x+2) -4x(x-2)
f) (2x-3)²-3(2x-1)(2x+3) – 8*(1-x).​

Answer 1

d) (x + 3)² + (x - 4)² + 2(x - 3)(x + 3) =

= x² + 6x + 9 + x² - 8x + 16 + 2x² + 18

= 4x² - 2x + 7

e) (3x - 2)² + (2x + 3)² + 3 (x - 2)(x + 2) - 4x(x - 2) =

= 9x² - 12x + 4 + 4x² + 12x + 9 + 3

= 13x² + 16

f) (2x - 3)² - 3(2x - 1)(2x + 3) - 8(1 -x) =

= 4x² - 12x + 9 - 12x² - 18x + 6x + 9 - 8 + 8x

= - 8x² - 16x + 10