Maths-

General

Easy

Question

# Write the product in the standard form. (3𝑎 − 4𝑏)(3𝑎 + 4𝑏)

Hint:

### The methods used to find the product of binomials are called special products.

Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign

## The correct answer is: 16b2.

### (3a − 4b)(3a + 4b) = 3a(3a + 4b) - 4b(3a + 4b)

= 3a(3a) + 3a(4b) - 4b(3a) - 4b(4b)

= 9a^{2} + 12ab - 12ab - 16b^{2}

= 9a^{2} - 16b^{2}

Final Answer:

Hence, the simplified form of (3𝑎 − 4𝑏)(3𝑎 + 4𝑏) is 9a^{2} - 16b^{2}.

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

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