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Maths-

General

Easy

Question

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

hint 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)
$rightwards double arrow$ 3a (5a + 7b) + 2b (5a + 7b)
$rightwards double arrow$ (15a² + 21ab) + (10ab + 14b²)
$rightwards double arrow$ (15a² + 31ab + 14b²)

Final Answer:

(15a² + 31ab + 14b²).

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