Question

Va rog ajutati-ma!........​

Answer 1

Răspuns:

Explicație pas cu pas:

Formula care se utilzeaza: a^2 - b^2 = (a + b)(a - b)

Ti-am rezolvat jumatate de la fiecare exercitiu. Te las sa aplici la restul subpunctelor.

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A a) (x + 1)^2 - 9 = (x + 1 + 3)(x + 1 - 3) = (x + 4)(x - 2)

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b) (x + 2)^2 - 25 = (x + 2 + 5)(x + 2 - 5) = (x + 7)(x - 3)

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c) (x - 3)^2 - 4 = (x - 3 + 2)(x - 3 - 2) = (x - 1)(x - 5)

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j) (4x + 1)^2 - 36 = (4x + 1 + 6)(4x + 1 - 6) = (4x + 7)(4x - 5)

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k) 25 - (2x + 3)^2 = (5 + 2x + 3)(5 - 2x- 3) = (8 + 2x)(2 - 2x)

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l) 4 - (4x - 5)^2 = (2 + 4x - 5)(2 - 4x + 5) = (4x - 3)(7 - 4x)

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B.

a) 4(a + 1)^2 - 9 = [2(a + 1)]^2 - 3^2 = (2a + 2)^2 - 3^2 = (2a + 2 + 3)(2a + 2 - 3)

= (2a + 5)(2a - 1)

b) 25(2x + 1)^2 - 16 = [5(2x + 1)]^2 - 4^2 = (10x + 5)^2 - 4^2

= (10x + 5 + 4)(10x + 5 - 4) = (10x + 9)(10x + 1)

c) 4(2x - 3)^2 - 9 = (4x - 6 + 3)(4x - 6 - 3) = (4x - 3)(4x - 9)

d) 9x^2 - (3x - 2)^2 = (3x + 3x - 2)(3x - 3x + 2) = 2*(6x - 2)

e) 16(x + 2)^2 - 25 = (4x + 8 + 5)(4x + 8 - 5) = (4x + 13)(4x + 3)