Question

a,x³ + 2x

b, 2021x+2021y+x²+xy

c, 49-4x²-4xy-y²

 

Answer 1

\(a,=x\left(x^2+2\right)\\ b,=2021\left(x+y\right)+x\left(x+y\right)=\left(x+2021\right)\left(x+y\right)\\ c,=49-\left(2x+y\right)^2=\left(7-2x-y\right)\left(7+2x+y\right)\)

Answer 2

a) x³+2x
  = x(x²+2)
b) 2021x+2021y+x²+xy
  = (2021x+2021y)+(x²+xy)
  = 2021(x+y)+x(x+y)
  = (2021+x)(x+y)
c) 49-4x²-4xy-y²  
  = -[(2x)²+2.2x.y+y²] + 7²
  = -(2x-y)²+7²
  = 7²-(2x-y)²
  = (7-2x+y)(7+2x-y)