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a).
(2x+3)/4x-9
Using identity = (a+ b)^2 = a^2+ b^2+ 2ab
(2X +3 )^2/ 2X ^2 -3 ^2
2X squared +3 x square +2× 2X into 3÷ 2 X -3 2X +3
4X squared + 9+ 12 X / 2X - 3 2X +3
b)
X square plus 6X +9 divided by X Square -9
Using identity ( A+ B ).^2 = a^2 + b^2+ 2 ab
X +3 whole square / X square -3 square ——1 eq
X +3 whole Square divided by X minus 3 X +3
Now when we expand (X +3 )^2 gets X square +3 square + 2*X *3
X squared +9+6x
In the equation that’s why we write X +3 whole square
Hope it helps!!!
(2x+3)/4x-9
Using identity = (a+ b)^2 = a^2+ b^2+ 2ab
(2X +3 )^2/ 2X ^2 -3 ^2
2X squared +3 x square +2× 2X into 3÷ 2 X -3 2X +3
4X squared + 9+ 12 X / 2X - 3 2X +3
b)
X square plus 6X +9 divided by X Square -9
Using identity ( A+ B ).^2 = a^2 + b^2+ 2 ab
X +3 whole square / X square -3 square ——1 eq
X +3 whole Square divided by X minus 3 X +3
Now when we expand (X +3 )^2 gets X square +3 square + 2*X *3
X squared +9+6x
In the equation that’s why we write X +3 whole square
Hope it helps!!!
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