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.

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

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Math worksheet on 'Polynomial Algebra Difference of Squares - Variables and Integers - Simplify (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
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
2
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) to the power of 2
c A LaTex expression showing (c + 2)(c - 2)
3
What does this expression simplify to?
A LaTex expression showing x to the power of 2 - 16
a A LaTex expression showing (x + 4)(x - 4)
b A LaTex expression showing (x + 4) to the power of 2
c A LaTex expression showing (x - 4) to the power of 2
4
What does this expression simplify to?
A LaTex expression showing m to the power of 2 - 4
a A LaTex expression showing (m + 2)(m - 2)
b A LaTex expression showing (m + 2) to the power of 2
c A LaTex expression showing (m - 2) 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)(r - 5)
c A LaTex expression showing (r + 5) to the power of 2
6
What does this expression simplify to?
A LaTex expression showing d to the power of 2 - 64
a A LaTex expression showing (d + 8)(d - 8)
b A LaTex expression showing (d + 8) to the power of 2
c A LaTex expression showing (d - 8) to the power of 2
7
What does this expression simplify to?
A LaTex expression showing m to the power of 2 - 25
a A LaTex expression showing (m - 5) to the power of 2
b A LaTex expression showing (m + 5)(m - 5)
c A LaTex expression showing (m + 5) to the power of 2