Question

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Answer 1

\(a,a^2-10a+25=\left(a-5\right)^2\\ b,4x^2+4x+1=\left(2x+1\right)^2\\ c,4x^2-9=\left(2x-3\right)\left(2x+3\right)\\ d,x^3+3x^2+3x+1=\left(x+1\right)^3\\ e,a^3-3a^2b+3ab^2-b^3=\left(a-b\right)^3\\ f,y^3+8=\left(y+2\right)\left(y^2-2y+4\right)\\ g,27x^3-1=\left(3x-1\right)\left(9x^2+3x+1\right)\)

Answer 2

\(a^2-10x+25=\left(a-5\right)^2\)

b/ \(4x^2+4x+1=\left(2x+1\right)^2\)

c/ \(4b^2-9=\left(2b-3\right)\left(2b+3\right)\)

d/ \(x^3+3x^2+3x+1=\left(x+1\right)^3\)

e/ \(a^3-3a^2b+3ab^2-b^3=\left(a-b\right)^3\)

f/ \(y^3+8=\left(y+2\right)\left(y^2-2y+4\right)\)

g/ \(27x^3-1=\left(3x-1\right)\left(9x^2+3x+1\right)\)