Question

Desenvolva cada produto e apresente a resposta na forma mais simplificada possível


a) (a + 4)·(a – 4) =
b) (3b – 3)·(3b + 3) =
c) (2x2 + 4y)·(2x2 – 4y) =
d) (3m + 2n)2 =
e) (5X - 2)2 =

Answer 1

$(a+4)(a-4)\\\\a.a-4.a+4.a+4(-4)\\\\a^2-4a+4a-16\\\\a^2-16$

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$(3b-3)(3b+3)\\\\3b.3b+3b.3-3(3b)-3(3)\\\\9b^2+9b-9b-9\\\\9b^2-9=9(b^2-1)$

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$(2x^2+4y)(2x^2-4y)\\\\2x^2.2x^2+2x^2(-4y)+4y(2x^2)+4y(-4y)\\\\4x^4-8x^2y+8x^2y-16y^2\\\\4x^4-16y^2=4(x^4-4y^2)$

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$(3m+2n)^2\\\\(3m+2n)(3m+2n)\\\\3m.3m+3m.2n+2n.3m+2n.2n\\\\9m^2+6mn+6mn+4n^2\\\\9m^2+12mn+4n^2$

--------------------------------------------------------------------------------------------------------------$(5x-2)^2\\\\(5x-2)(5x-2)\\\\5x.5x+5x(-2)-2(5x)-2(-2)\\\\25x^2-10x-10x+4\\\\25x^2-20x+4$