Question

simply using identify (2a+3)²-(2a-3)²​

Answer 1

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Step-by-step explanation:

$(2a + 3){}^{2} -(2a - 3){}^{2} \\ = (2a){}^{2} + 2 \times 2a \times 3 + (3){}^{2} - (2a){}^{2} - 2 \times 2a \times 3 + (3){}^{2} \\ = 4a + 12a + 9 - 4a - 12a + 9 \\ then \: 4a \: and \: 12a \: will \: be \: cut \: of \: \\ so \: 9 + 9 = 81(ans)$

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Answer 2

Answer:

We know that the identity: (x+y)

2

=x

2

+y

2

+2xy.

Consider (2a+3)

2

and apply the above identity as follows:

Taking x=2a and y=3 in the above identity.

We get, (2a+3)

2

=2a

2

+3

2

+(2×2a×3)=4a

2

+9+12a

Hence, (2a+3)

2

=4a

2

+12a+9.