This math topic focuses on simplifying algebraic expressions involving the difference of squares. Specifically, students practice dividing terms where variables are squared and then subtracted from each other, by another term that is a linear combination of those variables. Students must identify the simplified form of expressions such as \(\frac{d^2 - z^2}{d + z}\). They are given multiple choice options to select from, fostering their ability to recognize and apply the formula for the difference of squares. This is an advanced aspect of studying polynomials and quadratics.

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Polynomial Algebra Difference of Squares - Variables Divided by Term - Simplify Worksheet

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Math worksheet on 'Polynomial Algebra Difference of Squares - Variables Divided by Term - 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
A LaTex expression showing \frac{d to the power of 2 - z to the power of 2 }{d + z}
What does this expression simplify to?
a A LaTex expression showing (d - z)
b A LaTex expression showing (d + z)
2
A LaTex expression showing \frac{d to the power of 2 - n to the power of 2 }{d + n}
What does this expression simplify to?
a A LaTex expression showing (d - n)
b A LaTex expression showing (d + n)
3
A LaTex expression showing \frac{r to the power of 2 - y to the power of 2 }{r + y}
What does this expression simplify to?
a A LaTex expression showing (r - y)
b A LaTex expression showing (r + y)
4
A LaTex expression showing \frac{n to the power of 2 - y to the power of 2 }{n + y}
What does this expression simplify to?
a A LaTex expression showing (n + y)
b A LaTex expression showing (n - y)
5
A LaTex expression showing \frac{p to the power of 2 - m to the power of 2 }{p - m}
What does this expression simplify to?
a A LaTex expression showing (p + m)
b A LaTex expression showing (p - m)
6
A LaTex expression showing \frac{r to the power of 2 - z to the power of 2 }{r + z}
What does this expression simplify to?
a A LaTex expression showing (r + z)
b A LaTex expression showing (r - z)
7
A LaTex expression showing \frac{d to the power of 2 - p to the power of 2 }{d + p}
What does this expression simplify to?
a A LaTex expression showing (d + p)
b A LaTex expression showing (d - p)