Question

Factorise: 49a2 – 36y2​

Answer 1

${{\colorbox{n}{{\colorbox{cyan}{Answer}}}}}$

Given that Factorise the following :

$\color{magenta} \:{\underline{\boxed{\large{\rm{49 {a}^{2} - 36 {y}^{2} }}}}}$

We can observe that the above equation can be written as:-

$(7a) {}^{2} - {(6y)}^{2}$

Now note the algebraic Identity to be used here

${a}^{2} - {b}^{2} = (a + b)(a - b)$

so ,

$\sf(7 {a})^{2} - (6 {y})^{2} = (7a + 6y)(7a - 6y)$

Hope this helps you to resolve your problem !!

Answer 2

To Find :- Factorise: 49a² – 36y² .

Solution :-

→ 49a² - 36y²

→ 7 × 7 × a × a - 6 × 6 × y × y

→ 7²a² - 6²y²

using a^m × b^m = (a × b)^m ,

→ (7a)² - (6y)²

now, using (a² - b²) = (a + b)(a - b),

→ (7a + 6y)(7a - 6y) (Ans.)

Therefore, factorise form of given expression is equal to (7a + 6y)(7a - 6y) .

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