Maths-

General

Easy

Question

# Solve: (3𝑥 − 4)^{2}

Hint:

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

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

## The correct answer is: 16.

### (3𝑥 − 4)^{2} can be written as (3𝑥 − 4) (3𝑥 − 4)

(3𝑥 − 4) (3𝑥 − 4) = 3𝑥(3𝑥 − 4) −4(3𝑥 − 4)

= 3𝑥(3𝑥) - 3𝑥(4) - 4(3𝑥) - 4(-4)

= 9𝑥^{2} - 12𝑥 - 12𝑥 + 16

= 9𝑥^{2} - 24𝑥 + 16

Final Answer:

Hence, the simplified form of (3𝑥 − 4)^{2} is 9𝑥^{2} - 24𝑥 + 16.

^{2}- 12𝑥 - 12𝑥 + 16

^{2}- 24𝑥 + 16

Final Answer:

Hence, the simplified form of (3𝑥 − 4)

^{2}is 9𝑥

^{2}- 24𝑥 + 16.

This question can be easily solved by using the formula

(a - b)2 = a2 - 2ab + b2

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