Question

using identities solve the following (7a+5b)²​

Answer 1

Answer:

(7a+5b)² =

49a²+ 35ab+ 25b²

Answer 2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

7a - 5b2

Step 2 :

Trying to factor as a Difference of Squares :

2.1 Factoring: 7a-5b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 7 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

7a - 5b2