Question

Expand (2x - 4)2 using the square of a binomial formula.

(x)2 + 2(x)(4) + 42
O (2x)2 + 2(2x)(4) - 42
O(x2 - 2(x)(4) - 42
(2x)2 - 2(2x)(4) + 42

Answer 1

Explanation:

We have to expand,

`\longrightarrow` (2x — 4)²

• (a ― b)² = a² + b² ― 2ab

`\longrightarrow` (2x)² + (4)² ― 2(2x × 4)

`\longrightarrow` 4x² + 16 ― 2(8x)

`\longrightarrow` 4x² + 16 ― 16x

`\longrightarrow` 4x² ― 16x + 16

Hence, solved!

Answer 2

D is the correct answer (2x)2 – 2(2x)(4) + 42

Explanation: