Question

(2x-3)^3

4x^2-16

Answer 1

\(\left(2x-3\right)^3=8x^3-36x^2+54x-27\)

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

Answer 2

a) \(\left(2x-3\right)^3\)

\(=\left(2x\right)^3-3\cdot\left(2x\right)^2\cdot3+3\cdot2x\cdot3^2-3^3\)

\(=8x^3-3\cdot4x^2\cdot3+3\cdot2x\cdot9-27\)

\(=8x^3-36x^2+54x-27\)

b) \(4x^2-16\)

\(=4\left(x^2-4\right)\)

\(=4\left(x-2\right)\left(x+2\right)\)

Answer 3

(2x-3)³ = 8x³ - 36x² + 54x +- 27³

4x²-16 = (2x-4).(2x+4)