Question

Answer 1

\(a,x^2+6xy+9y^2=\left(x+3y\right)^2\\ b,4x^2-12xy+9y^2=\left(2x-3y\right)^2\\ c,x^2-10xy+25y^2=\left(x-5y\right)^2\\ d,9x^2+24xy+16y^2=\left(3x+4y\right)^2\\ e,27x^3+54x^2y+36xy^2+8y^2=\left(3x+2y\right)^2\\ f,x^3-6x^2y+12xy^2-8y^3=\left(x-2y\right)^3\\ g,8x^3+12x^2y+6xy^2+y^3=\left(2x+y\right)^3\\ h,8x^3-12x^2y+6xy^2-y^3=\left(2x-y\right)^3\)

Answer 2

a: \(x^2+6xy+9y^2=\left(x+3y\right)^2\)

b: \(4x^2-12xy+9y^2=\left(2x-3y\right)^2\)

c: \(x^2-10xy+25y^2=\left(x-5y\right)^2\)

d: \(9x^2+24xy+16y^2=\left(3x+4y\right)^2\)