Question

Written as a simplified polynomial in standard form, what is the result when (2x - 8)^2 is substracted from 4x^2

Answer 1

`\star \tt \: 4 {x}^(2) - (2x - 8) ^(2)`

`\longrightarrow \tt4 {x}^(2) - (2x ^(2) - 2 * 2x * 8 + 8^(2) )`

`\longrightarrow \tt4 {x}^(2) - 4 {x}^(2) + 32x - 64`

`\longrightarrow \tt \cancel{4 {x}^(2)} \: - \cancel{4 {x}^(2) } + 32x - 64`

`\longrightarrow \boxed{ \tt32x - 64}`

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