Maths-

General

Easy

Question

# Find the product. (2𝑥 − 4)(2𝑥 + 4)

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: 16

### (2𝑥 − 4)(2𝑥 + 4) = 2𝑥(2𝑥 + 4) − 4(2𝑥 + 4)

= 2𝑥(2𝑥) + 2𝑥(4) - 4(2𝑥) - 4(4)

= 4𝑥^{2} + 8𝑥 - 8𝑥 - 16

= 4𝑥^{2} - 16

Final Answer:

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

^{2}+ 8𝑥 - 8𝑥 - 16

^{2}- 16

Final Answer:

Hence, the simplified form of (2𝑥 − 4)(2𝑥 + 4) is 4𝑥

^{2}- 16

This question can be easily solved by using the formula

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

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