1.

Factorise the following using appropriate identities1)9X^2+6xy+y^22)4y^2-4y+13)x^2-y^2/100

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Here's UR ANSWER DEAR:-)
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1) using identity (a+b)^2= a^2+2ab+b^2


9x {}^{2} + 6xy + y {}^{2} \\ (3x) {}^{2} + 2 \times 3x \times y + (y) {}^{2} \\ (3x + y) {}^{2}

2) using identity (a-b)^2= a^2-2ab+b^2


4y {}^{2} - 4y + 1 \\ (2y) {}^{2} - 2 \times 2y \times 1 + 1 {}^{2} \\ (2y - 1) {}^{2}

3)using identity a^2-b^2= (a+b)(a-b)


x {}^{2} - \frac{y {}^{2} }{100 } \\ \\( x ){}^{2} - ( \frac{y}{10} ) {}^{2} \\ \\ (x + \frac{y}{10} )(x - \frac{y}{10} )


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