Question

Factorize 25x²−256

solve it please​

Answer 1

Given :

→ $\mathsf{25x^{2} - 256}$

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To find :

→ Factories the given equation.

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Step - by - step calculations :

→ $\mathsf{25x^{2} - 256}$

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→ $\mathsf{5^{2} \times x^{2} - 2^{2}}$

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→ $\mathsf{(5x)^{2} - (2^{4})^{2}}$

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→ $\mathsf{(5x + 2^{4}) \: (5x - 2^{4})}$

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→ $\mathsf{(5x + 16) \: (5x - 16)}$

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Know more :

★ To factories the same question there's other ways too, it can be solved within two or three steps (This is the right way of doing step by step for better understanding).

Answer 2

Given Expression :-

$\sf{25 {x}^{2} - 256}$

To Find :-

Factorized Expression.

How To Solve?

Take Out Common Factors and then use applicable identity.

Step by Step Explanation :-

⇢ $\sf{25 {x}^{2} - 256}$

⇢ $\sf{( {5x})^{2} - ( {16})^{2} }$

Use Identity :- a² - b² = (a + b)(a - b).

⇢ $\underline{\boxed{\bf\red{(5x + 16)(5x - 16)}}}$

Hence, This is the Required answer.