Maths-

General

Easy

Question

# Simplify:

(ii) (3a + 2b) (5a + 7b)

Hint:

### Multiplication of polynomials.

○ Follow three steps while multiplication of polynomials.

First, multiply each term in one polynomial by each term in the other polynomial using the distributive law.

Add the powers of the same variables using the exponent rule.

○ Then, simplify the resulting polynomial by adding or subtracting the like term.

## The correct answer is: (15a2 + 31ab + 14b2).

- Step-by-step explanation:

○ Step 1:

○ Multiply both terms.

(3a + 2b) (5a + 7b)

3a (5a + 7b) + 2b (5a + 7b)

(15a^{2} + 21ab) + (10ab + 14b^{2})

(15a^{2} + 31ab + 14b^{2})

- Final Answer:

(15a^{2} + 31ab + 14b^{2}).

^{2}+ 21ab) + (10ab + 14b

^{2})

^{2}+ 31ab + 14b

^{2})

^{2}+ 31ab + 14b

^{2}).

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