Question

Using identites factorie this 49a^2+70ab+25b^2

Answer 1

$\bold{ \underline{Solution:}}$

Here, in the given question

$49a {}^{2} + 70ab + 25b {}^{2}$

We will use identity

$\boxed{ \bold{(a + b){}^{2} = a {}^{2} + 2ab + b {}^{2} }}$

$49a {}^{2} + 70ab + 25b {}^{2} \\ \\ (7a) {}^{2} + 2 \times 7a \times 5b + (5b) {}^{2} \\ \\ (7a + 5b) {}^{2}$

$\bold{\boxed{Thank you!!}}$

Answer 2

Answer !!!

49a² + 70ab + 25b²

We can simplify this into :

( 7a )² + ( 2 * 7a * 5b ) + ( 5b )²

It is in the form x² + (2*x*y) + y² = ( x + y )²

So,

( 7a )² + ( 2 * 7a * 5b ) + ( 5b )² = ( 7a + 5b )²