Question

Expand and simplify (2x-3)^2-3x(x-4)

Answer 1

x^2 +9

Explanation:

expand and simplify

(2x-3)^2-3x(x-4)

First expand the squared term

4x^2 -6x -6x+9 -3x(x-4)

Distribute the -3x

4x^2 -6x -6x+9 -3x^2 +12x

Combine like terms

4x^2 -3x^2-6x -6x +12x+9

x^2 +9

Answer 2

`{x}^(2) - 12x + 21`

Explanation:

We know that,

`{(a - b)}^(2) = {a}^(2) - 2ab + {b}^(2)`

Accordingly, let us solve the sum.

`{(2x - 3)}^(2) - 3x(x - 4)`

Expand and solve the brackets.

`4 {x}^(2) - 12x + 9 - 3 {x}^(2) + 12`

Combine like terms.

`{x}^(2) - 12x + 21`