Question

one factor of 49a²-25b²is (7a+5b). what will be the other factor?​

Answer 1

Answer:

The other Factor = 7a-5b

Method 1:

By long division we get = (49a²-25b²) ÷ (7a+5b)

=(7a-5b)

Method 2:

w.k.t... a²-b² = (a+b).(a-b)

Similarly we get, =7a-5b

Answer 2

Answer:

7a-5b is the other factor

Step-by-step explanation:

Rule:

(a+b)(a-b) =a^2 - b^2

So,

(7a-5b)(7a+5b) =( 7a)^2-(5b)^2

=49a^2- 25b^2