Question

How to find the product (4x-3)4 exponent

Answer 1

`\begin{gathered} (4x-3)^4 \\ \end{gathered}`

This can be solved by binomial expansion and also by Pascal triangle coefficients.

Alternatively, it could be solved by the expansion of brackets.

`\begin{gathered} (4x-3)^4=(4x-3)(4x-3)(4x-3)(4x-3) \\ \lbrack(4x-3)(4x-3)\rbrack^2 \\ \end{gathered}`
`\begin{gathered} (4x-3)(4x-3)=16x^2-12x-12x+9 \\ =16x^2-24x+9 \end{gathered}`

Therefore, the expansion is;

`256x^4-768x^3+864x^2-432x+81`