Question

Factorise 4a square - 49b square

Answer 1

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

$\longrightarrow \: \sf {4a}^{2} - {49b}^{2} \\ \\ \longrightarrow \: \sf{(2a)}^{2} - {(7b)}^{2} \\ \\ \longrightarrow \: \sf(2a + 7b)(2a - 7b)$

$\huge \underline{ \underline{ \bf \purple{Identity \: used :}}}$

$\longrightarrow \: \sf {a}^{2} - {b}^{2} = (a + b)( a-b )$

Answer 2

$\underline\blue{{\sf Correct \: Question } \: :-}$

$\sf:\implies Factorise \: {4a}^{2} - {49b}^{2}$

$\underline\blue{{\sf Using \: Identity :- }}$

$:\implies\sf a^{2} - b^{2} = (a + b)(a - b)$

$\underline\blue{{\sf Solution :- }}$

$\sf4a^{2} - 49b^{2}$

$= \sf(2a)^{2} - (7b)^{2}$

$= \sf(2a + 7b)(2a - 7b)$