Question

A) (1+5a)²+25.(1-a²)

B) (2x+1)²+(x-5)²

C) (x-1)²-(x+1)²

D) (x-2).(x-5)²-x.(x-6)²

E)(3x+2).(3x-2)+(x+2)²
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Answer 1

Resposta:

A) 10a+26

B) 5x²-6x+26

C) -4x

D)9x-50

E) 10x²+4x

Explicação passo-a-passo:

A)

$(1 + 5a) \times (1 + 5a) + 25 \times (1 - a {}^{2} )$

$1 + 5a + 5a + 25a {}^{2} + 25 - 25a {}^{2}$

$10a + 26$

B)

$(2x + 1)(2x + 1) + (x - 5)(x - 5)$

$4x {}^{2} + 4x + 1 + x {}^{2} - 10x + 25$

$5x {}^{2} - 6x + 26$

c)

$(x - 1)(x - 1) - (x + 1)(x + 1) \\ x {}^{2} - 2x + 1 - x {}^{2} - 2x - 1 \\ - 4x$

d)

$(x - 2)(x - 5)(x - 5) - x(x - 6)(x - 6) \\ (x {}^{2} - 7x + 10)(x - 5) - x(x {}^{2} - 12x + 36) \\ x {}^{3} - x {}^{3} - 12 {}^{2}x + 1 2{}^{2} x + 45x - 36x - 50 \\ 9x - 50$

e)

$(3x + 2)(3x - 2) + (x + 2)(x + 2) \\ 9x {}^{2} - 6x + 6x - 4 + x {}^{2} + 4x + 4 \\ 10x {}^{2} + 4x$