Question

(7a+5b)² solve the problem by using identities​

Answer 1

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Answer 2

To solve : $(7a + 5b ) ^{2}$  using identity .

Solution :

• As we can see the given expression is of the form $(a +b )^{2}$ .
• We know that , $( a + b )^{2} = a^{2} + 2ab +b^{2}$
• Therefore , we apply above identity to $(7a + 5b ) ^{2}$ .
• Here , $a = 7a$ and $b = 5b$ .

• $(7a + 5b ) ^{2}$ $= (7a )^{2}+ 2 ( 7a ) ( 5b ) + (5b ) ^{2}$  

                       $= 49a^{2} + 70ab + 25b^{2}$

Hence , on solving $(7a + 5b ) ^{2}$ using identity we get answer $49a^{2} + 70ab + 25b^{2}$ .