Quiz Discussion

Title: Equivalent expressions

Grade: 10-a Lesson: S1-L5

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id Problem Options

Steps 1

Simplify the expression \$(x^3 - y^3)/(x - y)\$.

A) \$ x^3 + xy + y^3 \$

B) \$ x^2 + xy + y^2 \$

C) \$ x^2 + 2xy + y^2 \$

D) \$ x^2 - xy - y^2 \$

Steps 2

Simplify the expression \$\sqrt(5 + 2\sqrt6) + \sqrt(5 - 2\sqrt6)\$.

A) \$ 10\sqrt5 \$

B) \$ 3sqrt6 \$

C) \$ 2\sqrt5\$

D) \$ -2\sqrt5 \$

Steps 3

Simplify the expression: \$\sqrt(a^2 + 2ab + b^2) - \sqrt(a^2 - 2ab + b^2)\$.

A) - 2ab

B) 2a

C) 4ab

D) 2b

Steps 4

Simplify the expression \$((2x^3y^2)(-3xy^4)^2)/(6x^4y^3)^2\$.

A) \$ - y^4 / (2x^3)\$

B) \$ y^3 / (2x^2)\$

C) \$ (1/2) times y^4 / (x^3)\$

D) \$ - y^3 / (2x^2)\$

Steps 5

Simplify the expression \$(2x - 1)(x^2 + 3x - 4) - 2(x + 2)(x - 1)\$.

A) \$2x^3 + 3x^2 -13x - 8\$

B) \$2x^3 + 3x^2 -13x + 8\$

C) \$2x^3 - 3x^2 -13x + 8\$

D) \$2x^3 + 3x^2 +13x - 8\$


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