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What is the value of $49 a 2 + 70 a b + 25 b 2$ after factoring it?

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7 a + 5 b 7 a + 5 b

7 a − 5 b 7 a − 5 b

7 a + 5 b 7 a − 5 b

7 a − 5 b 7 a + 5 b

answer is A.

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Detailed Solution

The given polynomial is,

49 a 2 + 70 a b + 25 b 2

We use the concept of algebraic identities to solve the given polynomial.
So,
We can simplify it as,

⇒ 49 a 2 + 70 a b + 25 b 2 ⇒ 7 a 2 + 2 7 a 5 b + 5 b 2

⇒ 7 a + 5 b 2

⇒ 7 a + 5 b 7 a + 5 b

Thus, the value of

49 a 2 + 70 a b + 25 b 2

after factorizing it, is

7 a + 5 b 7 a + 5 b .

Hence, option 1 is the correct option.

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