Question

Express each of the following as the difference of two squares:(x^2+5x-7)(x^2-5x+7)​

Answer 1

Answer:

$( {x}^{2} + 5x - 7)( {x}^{2} - 5x + 7) \\ \\ = \{ {x}^{2} + (5x - 7) \} \{ {x - (5x - 7)}^{2} \} \\ \\ let \: \: {x}^{2} = a \: \: and \: \: 5x - 7 = b \\ \\ = (a + b)(a - b) \\ \\ = {a}^{2} - {b}^{2} \\ \\ = ( {x}^{2} ) {}^{2} - (5x - 7) {}^{2}$

Answer 2

Answer:

(X)^2 - (5x-7)^2

Step-by-step explanation:

(x^2+5x-7)(x^2-5x+7)

= { ( x^2 + (5x-7) } { x^2 - (5x-7) }

= (X)^2 - (5x-7)^2

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