Algebraic Expressions and Factoring Quizzes
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Questions and Answers

What is the value of $2rac{1}{k^2}(a^2 + b^2 - c^2) - (a^2 - b^2 + c^2)rac{b^2 - c^2}{k}$?

  • $k^2 - k$
  • $k^2 + k$
  • $k^2 - 1$
  • $k^2 + 1$ (correct)

    • Simplify the expression: $16y^2 - 9$

  • $(8y + 3)(2y - 3)$
  • $(4y + 3)(4y - 3)$ (correct)
  • $(8y - 3)(2y + 3)$
  • $(4y + 3)(4y + 3)$

    • Simplify the expression: $rac{(1 + p)(1 + p^2)(1 + p^4)(1 + p^8)(1 - p) - 1}{p}$

  • $p^{32} (1+p^{32}) + (1-p^{32})$
  • $p^{32} - p^{32} (1+p^{32})$
  • $p^{32} (1+p^{32}) - (1-p^{32})$ (correct)
  • $p^{32} - p^{32} (1-p^{32})$

    • Simplify the expression: $(a + b + c)^2 - (a - b + c)^2 + 4ab$

    <p>$4(ab+bc+ca)$</p> Signup and view all the answers

    Simplify the expression: $5a imes rac{fuEufyf[kr}{O;atd} imes dks imes ljy imes dhft$

    <p>$5a$</p> Signup and view all the answers

    Simplify the expression: $rac{(1 + p)(1 + p^2)(1 + p^4)(1 + p^8)(1 - p) - 1}{p}$

    <p>$(p^4 - 1)^2$</p> Signup and view all the answers

    Simplify the expression: $(a + b + c)^2 - (a - b + c)^2 + 4ab$

    <p>$4(ab + bc + ca)$</p> Signup and view all the answers

    Simplify the expression: $16y^2 - 9$

    <p>$(4y - 3)(4y + 3)$</p> Signup and view all the answers

    Simplify the expression: $5a imes rac{fuEufyf[kr}{O;atd} imes dks imes ljy imes dhft$

    <p>$2a$</p> Signup and view all the answers

    What is the value of $2rac{1}{k^2}(a^2 + b^2 - c^2) - (a^2 - b^2 + c^2)rac{b^2 - c^2}{k}$?

    <p>$k^4 - 32k^3$</p> Signup and view all the answers

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