Question

i)(x-3) ²-7x-21-(x-3) (x+1) +a(x²-9)
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Answer 1

Răspuns:

o) a² - 9b² - ax + 3bx = (a - 3b) • (a + 3b - x) .

p) x² + 4x + 4 - b² = (x + 2)² - b² = (x + 2 - b) • (x + 2 + b) .

q) a² - x² - 2x - 1 = a² - (x + 1)² = (a - x - 1) • (a + x + 1) .

r) (x + 5)² + 4x + 20 = (x + 5) • (x+ 9) .

s) (5x - 3)² - 25x² + 9 = 25x² - 30x + 9 - 25x² + 9 = - 30x + 9 + 9 = - 30x + 18 .

t) 49x² + 14x + 1 + 35ax + 5 = 49x² + 14x + 6 + 35ax .

u) (x - 3)(x + 7) + x² - 6x + 9 = (x - 3)•(x + 7 + x - 3) = (x - 3) • (2x + 2) = 2(x - 3) • (x + 2)

v) 81x² - 18x + 1 - y² = (9x - 1)² - y² = (9x - 1 - y) • (9x - 1 + y)

i) (x - 3)² - 7x - 21 - (x - 3)(x + 1) + a(x² - 9) = x² + 6x + 9 - 7x - 21 - x² + 2x + 3x+ ax² - 9a = - 11x - 9 + ax² - 9a