Dear sir ,I am from coimbatore I require answer for the following sums with the steps Factorise the - Maths - Polynomials

Question

Dear sir ,I am from coimbatore I require answer for the
following sums with the steps
Factorise the following using apprpriate identites:
1 9x^2+6xy+y^2
2 4y^2-4y+1
3 x^2 - y^2/100

Ayush Jha · Accepted Answer

We have to factorize the following-

1>

$= 9 x^{2} + 6 x y + y^{2} = {(3 x)}^{2} + {(y)}^{2} + 2 (3 x) (y) [a^{2} + b^{2} + 2 a b = {(a + b)}^{2}] = {(3 x + y)}^{2}$

2>

$= 4 y^{2} - 4 y + 1 = {(2 y)}^{2} + 1^{2} - 2 (2 y) (1) [a^{2} + b^{2} - 2 a b = {(a - b)}^{2}] = {(2 y - 1)}^{2}$

3>

$= x^{2} - \frac{y^{2}}{100} = x^{2} - {(\frac{y}{10})}^{2} = (x + \frac{y}{10}) (x - \frac{y}{10}) [a^{2} - b^{2} = (a + b) (a - b)]$

Dear sir ,I am from coimbatore.I require answer for the following sums with the steps . Factorise the following using apprpriate identites: 1 . 9x^2+6xy+y^2 2. 4y^2-4y+1 3 . x^2 - y^2/100

Dear sir ,I am from coimbatore.I require answer for the following sums with the steps .

Factorise the following using apprpriate identites:

1 . 9x^2+6xy+y^2

2. 4y^2-4y+1

3 . x^2 - y^2/100