Question

Calcule

a) (x+2)² +2 . (x-3)² + (x+4) . (x-4)

b) (2x+3) ² - (x+3) . (x-3)

Answer 1

a) (x+2)² + 2 * (x - 3)² + (x + 4) * (x - 4)
(x + 2)(x + 2) + 2(x - 3)(x - 3) + (x + 4)(x - 4)
x² + 2x + 2x + 4 + 2(x² - 3x - 3x + 9) + x² - 4x + 4x - 16
x² + 4x + 4 + 2(x² - 6x + 9) + x² - 16
x² + 4x + 4 + 2x² - 12x + 18 + x² - 16
4x² - 8x + 6 (:2)
2x² - 4x + 3

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b) (2x + 3)² - (x + 3) * (x - 3)
(2x + 3)(2x + 3) - (x + 3)(x - 3)
4x² + 6x + 6x + 9 - (x² - 3x + 3x - 9)
4x² + 12x + 9 - x² + 9
3x² + 12x + 18 (:3)
x² + 4x + 6

BONS ESTUDOS!
ESPERO TER AJUDADO!