Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Find the product. (2𝑥 − 4)(2𝑥 + 4)

hint 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)
= 4𝑥² + 8𝑥 - 8𝑥 - 16
= 4𝑥² - 16
Final Answer:
Hence, the simplified form of (2𝑥 − 4)(2𝑥 + 4) is 4𝑥² - 16

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

Related Questions to study

Use the square of a binomial to find the value of 51².

Use the square of a binomial to find the value of 51².

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

Subtract -5x² from the sum of 3xy - 2x²+ 19 and 9y² + 3x² - 5.

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$ .
$text ? and end text 6 x squared plus 4 x minus 8$

Complete the factor pair for $18 x to the power of 4 plus 12 x cubed minus 24 x squared$ .
$text ? and end text 6 x squared plus 4 x minus 8$

parallel

Find the product.
−4𝑥 (2𝑥² − 3𝑥 + 5)

Find the product.
−4𝑥 (2𝑥² − 3𝑥 + 5)

Use the square of a binomial to find the value of 99².

Use the square of a binomial to find the value of 99².

Use the square of a binomial to find the value of 71².

Use the square of a binomial to find the value of 71².

parallel

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find subsets of A such that the GCF of its elements is 4x, 5x and y.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find subsets of A such that the GCF of its elements is 4x, 5x and y.

Solve: (3𝑥 − 4)²

Solve: (3𝑥 − 4)²

Find the product
−2𝑥²(𝑥² + 3𝑥 + 4)

Find the product
−2𝑥²(𝑥² + 3𝑥 + 4)

parallel

Subtract 4y(y - z + x) - 3x(x - y + z) from 5z(z - y - x)

Subtract 4y(y - z + x) - 3x(x - y + z) from 5z(z - y - x)

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 3.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 3.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 2x.

Consider the following set of monomials.
$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 2x.

parallel

Express in the form of a single algebraic expression: (3x + 4y) (4x²y + 3xy²)

Express in the form of a single algebraic expression: (3x + 4y) (4x²y + 3xy²)

Consider the following set of monomials.

$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 1 .

Consider the following set of monomials.

$A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket$
Find a subset of A such that the GCF of its elements is 1 .

Simplify: (x + y)(2x + y) + (x + 2y)(x – y)

Simplify: (x + y)(2x + y) + (x + 2y)(x – y)

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.