Question

a) 5x²y² + 20x²y⁴ - 35x⁵y³ 

b) 2x ( x + y ) - 7x - 7y

c) 5x^2 ( x - 1 ) + 5 ( 1 - x )

 

Answer 1

a) 5x²y² + 20x²y⁴ - 35x⁵y³ 

= \(5x^2y^2\left(1+4y-7x^3y\right)\)

b) 2x ( x + y ) - 7x - 7y

\(=2x\left(x+y\right)-7\left(x+y\right)=\left(2x-7\right)\left(x+y\right)\)

c) 5x^2 ( x - 1 ) + 5 ( 1 - x )

\(5x^2\left(x+1\right)+5\left(1-x\right)=5x^2\left(x-1\right)-5\left(x-1\right)=\left(5x^2-5\right)\left(x-1\right)=5\left(x^2-1\right)\left(x+1\right)\)

= 5(x+1)(x-1)(x-1) = 5(x+1)(x-1)^2