Question

$( {4a}^{2} - {b}^{2} )$
Please factorise it correctly using suitable identity.​

Answer 1

Answer:

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

Hope it's helpful ❣❣

Answer 2

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Question :-

$(4 {a}^{2} - {b}^{2} )$

• Factorise this

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Answer:-$(2a + b)(2a - b)$

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Step by step explanation :-

$⇒(4 {a}^{2} - {b}^{2} ) \\ \\ We know that( {2}^{2} = 4 )\\ \\⇒ ({(2a)}^{2} - {b}^{2} )</h3><p> </p><h2><u>\</u><u>\</u><u> </u><u>\</u><u>\</u><u> </u><u>Iden</u><u>tity</u><u> </u><u>\</u><u>:</u><u>used</u><u> </u><u>:</u><u>-</u></h2><p><u>\</u><u>\</u><u> </u><u>\</u><u>\</u><u> </u><u>⇒ {a}^{2} - {b}^{2} = (a + b)(a - b)$

Use this identity in question

$⇒ ({(2a)}^{2} - {b}^{2} ) \\ \\ ⇒(2a + b)(2a - b)$

Hence solved

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