Question Icon

Hotmath Practice Problems

book image
Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Exponents, Polynomials and FactoringSection:Special Cases (Squares, Product of Sum and Difference)
 

Problem: 1

Is the given expression a difference of two squares?

(x2 – 4)

 

Problem: 3

Is the given expression a difference of two squares?

(a2 + 25)

 

Problem: 5

Is the given expression the square of a binomial?

(a2 + 6a + 9)

 

Problem: 7

Is the given expression the square of a binomial?

(y2 – 16y + 64)

 

Problem: 9

Multiply.

(x + 5)(x – 5)

 

Problem: 11

Multiply.

(2x – 3)2

 

Problem: 13

Multiply.

(3y + 7)(3y – 7)

 

Problem: 15

Multiply.

(a + 3b)(a – 3b)

 

Problem: 17

Multiply.

(2x – 5y)(2x + 5y)

 

Problem: 19

Multiply.

(8 – 5t)(8 + 5t)

 

Problem: 21

Find the product.

 

Problem: 23

Find the product.

 

Problem: 25

Find the product.

(x + 7)(x – 7)

 

Problem: 27

Find the product.

(4 – m)(4 + m)

 

Problem: 29

Find the product.

(3x + 2)(3x – 2)

 

Problem: 31

Find the product.

(5x2 – 2)(5x2 + 2)

 

Problem: 33

Find the product.

(x5x3)(x5 + x3)

 

Problem: 35

Find the product.

(5c – 3d)(5c + 3d)

 

Problem: 37

Find the product.

(–4t + s)(–4ts)

 

Problem: 39

Multiply.

(x + 4)2

 

Problem: 41

Multiply.

(t – 4)2

 

Problem: 43

Multiply.

(3x – 2)2

 

Problem: 45

Multiply.

(5a – 2b)2

 

Problem: 47

Multiply.

(3s + 4t)2

 

Problem: 49

Multiply.

 

Problem: 51

Multiply.

(3x + 5)(3x + 5)

 

Problem: 53

Multiply.

(4x – 3y)(4x + 3y)

 

Problem: 55

Find the area of a square whose side length is (2x – 5) inches.

 

Problem: 57

Obtain two expressions for the area of the figure given. Explain the special product pattern that is represented.