Answer:
4x²+24x-28
Step-by-step explanation:
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tips and formulas:
let's solve:
[tex]step - 1 : define[/tex]
[tex] {8x}^{2} + x - (2x - 6) ^{2} [/tex]
[tex]step - 2 : simplify[/tex]
- use (a-b)²=a²-2ab+b² to expand the expression:[tex] \tt {8x}^{2} + 8 - (4 {x}^{2} - 24x + 36)[/tex]
- [tex] \tt remove \: parentheses \: and \: the \: signs : \\ \tt{8x}^{2} + 8 - 4 {x}^{2} + 24x - 36[/tex]
- [tex] \tt \: collect \: and \: combine \: like \: terms : \\ \tt{4x}^{2} + 24x - 28[/tex]
