Question

(5x-3)(5x+3)(25x^2+9)​

Answer 1

Step-by-step explanation:

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Answer 2

Given,

$\dag \:\: \:\bf(5x - 3)(5x + 3)( {25x}^{2} + 9)$

We have,

• To simplify the expression

So,

♦ If, terms are as (a - b)(a + b), it can be written as a² - b²

Therefore,

$\small \hookrightarrow \tt\blue{(5x - 3)(5x + 3)( {25x}^{2} + 9) }\\ \\ \sf \to \green{\big\{{(5x)}^{2} - {(3)}^{2} \big\} ( {25x}^{2} + 9)}\\ \\ \sf \to \: \green{\{ {25x}^{2} - 9 \} ( {25x}^{2} + 9 )}\\ \\ \to \sf\green{ [ { \big( {25x}^{2} \big)}^{2} - {(9)}^{2} ] }\\ \\ \large {\to \rm \: \: \red{ {625x}^{4} - 81} }$

Hence,

• Simplified form of (5x - 3)(5x + 3)(25x² + 9) is 625x⁴ - 81.