Question

fatore por agrupamento

Answer 1

a) ax - ay + bx - by

a(x - y) + b(x - y)

(a + b)(x - y)

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b) x²  + 5x + ax + 5a

x(x + 5) + a(x + 5)

(x + a)(x + 5)

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c) t³  + t² - 7t - 7

t²(t + 1) - 7(t + 1)

(t² - 7)(t + 1)

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d) 2b² - 2 - b²k - k

2(b² - 1) - k(b² - 1)

(2 - k)(b² - 1)

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e) a⁵ + a³ + 2a² + 2

a³(a² + 1) + 2(a² + 1)

(a³ + 2)(a² + 1)

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f) 5ax - 5ay + bx - by

5a(x - y) + b(x - y)

(5a + b)(x - y)

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g) 6a² + 2ab - 3ac - bc

2a(3a + b) - c(3a + b)

(2a - c)(3a + b)

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h) x⁴ - x³ - 9x + 9

x³(x - 1) - 9(x - 1)    

(x³ - 9)(x - 1)    

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i) bx² - 2by + 5x² - 10y

b(x² - 2y) + 5(x² - 2y)

(b + 5)(x² - 2y)

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j) cx + x + 2c + 2

x(c + 1) + 2(c + 1)

(x + 2)(c + 1)

Espero ter ajudado!