Question

a)5x³+40y; 

b)16x²+8xy+y²-16;

c)3x²+14x-15

Answer 1

\(a,=5\left(x^3+8y\right)\\ b,=\left(4x+y\right)^2-16=\left(4x+y-4\right)\left(4x+y+4\right)\\ c,=3\left(x^2+2\cdot\dfrac{7}{3}x-5\right)\\ =3\left(x^2+2\cdot\dfrac{7}{3}x+\dfrac{49}{9}-\dfrac{94}{9}\right)\\ =3\left(x+\dfrac{7}{3}-\dfrac{\sqrt{94}}{3}\right)\left(x+\dfrac{7}{3}+\dfrac{\sqrt{94}}{3}\right)\)

Answer 2

a: \(5x^3+40y=5\left(x^3+8y\right)\)

b: \(16x^2+8xy+y^2-16\)

\(=\left(4x+y\right)^2-16\)

\(=\left(4x+y-4\right)\left(4x+y+4\right)\)