Question

Answer 1

a) \(16x^2-9=\left(4x-3\right)\left(4x+3\right)\)

b) \(27-8y^2=\left(3-2y\right)\left(9+6y+4y^2\right)\)

c) \(81-y^4=\left(9-y^2\right)\left(9+y^2\right)=\left(3-y\right)\left(3+y\right)\left(9+y^2\right)\)

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

e) \(=\left(x+y+z-x+y+z\right)\left(x+y+z+x-y-z\right)=\left(2y+2z\right)2x=4x\left(y+z\right)\)

f) \(=\left(5x^2-3y^3\right)\left(25x^4+15x^2y^3+9y^6\right)\)