Question

Expand and simplify: (4x + 5) 2 − (4x − 5) 2

Answer 1

(4x + 5)² - (4x - 5)²

= (4x + 5 + 4x - 5)(4x + 5 - 4x + 5)

... a² - b² = (a + b)(a - b)

= (8x)(5)

= 40x

Answer 2

Step-by-step explanation:

${(4x + 5)}^{2} - {(4x - 5)}^{2} \\ {a {}^{2} - {b}^{2} } = (a + b) (a - b) \\ = (4x + 5 ) (4x - 5) \\ \\ = 40x$

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