This math topic focuses on simplifying polynomials using the difference of squares formula, a fundamental concept within polynomial algebra and advanced quadratics. Students encounter expressions where a variable is squared and subtracted by a squared integer (e.g., \(x^2 - 49\), \(c^2 - 4\)). Each problem requires identifying the factorization as a product of two binomials or incorrectly as a perfect square binomial. This practice helps in understanding polynomial identities and their manipulation, crucial for higher-level algebra topics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Polynomial Algebra Difference of Squares - Variables and Integers - Simplify Worksheet

Mobius Math Academy logo
Polynomial Algebra Difference of Squares - Variables and Integers - Simplify
1
What does this expression simplify to?
A LaTex expression showing y to the power of 2 - 49
a A LaTex expression showing (y + 7) to the power of 2
b A LaTex expression showing (y + 7)(y - 7)
c A LaTex expression showing (y - 7) to the power of 2
2
What does this expression simplify to?
A LaTex expression showing b to the power of 2 - 25
a A LaTex expression showing (b - 5) to the power of 2
b A LaTex expression showing (b + 5) to the power of 2
c A LaTex expression showing (b + 5)(b - 5)
3
What does this expression simplify to?
A LaTex expression showing c to the power of 2 - 4
a A LaTex expression showing (c + 2) to the power of 2
b A LaTex expression showing (c + 2)(c - 2)
c A LaTex expression showing (c - 2) to the power of 2
4
What does this expression simplify to?
A LaTex expression showing c to the power of 2 - 16
a A LaTex expression showing (c + 4) to the power of 2
b A LaTex expression showing (c + 4)(c - 4)
c A LaTex expression showing (c - 4) to the power of 2
5
What does this expression simplify to?
A LaTex expression showing r to the power of 2 - 25
a A LaTex expression showing (r - 5) to the power of 2
b A LaTex expression showing (r + 5) to the power of 2
c A LaTex expression showing (r + 5)(r - 5)
6
What does this expression simplify to?
A LaTex expression showing x to the power of 2 - 49
a A LaTex expression showing (x + 7) to the power of 2
b A LaTex expression showing (x + 7)(x - 7)
c A LaTex expression showing (x - 7) to the power of 2
7
What does this expression simplify to?
A LaTex expression showing d to the power of 2 - 64
a A LaTex expression showing (d + 8) to the power of 2
b A LaTex expression showing (d + 8)(d - 8)
c A LaTex expression showing (d - 8) to the power of 2
8
What does this expression simplify to?
A LaTex expression showing z to the power of 2 - 81
a A LaTex expression showing (z - 9) to the power of 2
b A LaTex expression showing (z + 9)(z - 9)
c A LaTex expression showing (z + 9) to the power of 2