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Maths-

General

Easy

Question

Solve: (3𝑥 − 4)²

hint 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)
= 9𝑥² - 12𝑥 - 12𝑥 + 16
= 9𝑥² - 24𝑥 + 16
Final Answer:
Hence, the simplified form of (3𝑥 − 4)² is 9𝑥² - 24𝑥 + 16.

This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2

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