Math, asked by rajtyagi106, 7 months ago

Find the value of (2x+3)^2 - (2x-3)^2. *

Answers

Answered by ƦαìɳɓσωƦσѕε
1

Answer:

Using identity of (a+b)^2

and (a-b)^2

so ,{( 2x)^2+2x×2x×3+3^2}-{(2x)^2-2×2x×3+(3)^2}

(4x^2+12x+9)-(4x^2-12x+9).

4x^2+12x+9-4x^2+12x+9. [cancle 4x^2,-4x^2,9,-9

12+12

=24

so, the answer is 24

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Answered by irfankhalik94
0

Answer:

using the formula

x ^{2}  - y ^{2}  = (x - y)(x + y)

[/tex]Step-by-step explanation:(2x  + 3) ^{2}  - (2x - 3) ^{2}   = [2x + 3 - ( 2x - 3 ) ] [ 2x + 3 + ( 2x - 3 ) ]. =[2x + 3 - 2x + 3 ] [ 2x + 3 + 2x - 3 ]cancel: 2x, -2x; 3 , -3= ( 3 + 3 ) ( 2x + 2x )= 6 × 4x=24x

so 24x is a correct answer

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