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Question

Factorise: $$\displaystyle 49{ a }^{ 2 }-64{ b }^{ 2 }$$


A
(7a8b)(7a+8b)
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B
(7a8b)(7a8b)
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C
(7a+8b)(7a+8b)
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D
(7a7b)(8a8b)
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Solution

The correct option is A $$\displaystyle \left( 7a-8b \right) \left( 7a+8b \right) $$
$$\displaystyle 49{ a }^{ 2 }-64{ b }^{ 2 }={ \left( 7a \right)  }^{ 2 }-{ \left( 8b \right)  }^{ 2 }$$
                      $$\displaystyle =\left( 7a-8b \right) \left( 7a+8b \right) $$         ...$$\displaystyle \left[ \because { a }^{ 2 }-{ b }^{ 2 }=\left( a-b \right) \left( a+b \right)  \right] $$

Mathematics

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