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  • Polynomials
  • Factoring Polynomials
  • Factoring the difference between two squares

Factoring the difference between two squares

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  • Question 1:
    1 pts
    The difference of two squares $a^{2}-b^{2}$ is

    $(a-b)(a-b)$

    $(a+b)(a+b)$

    $(a+b)(a-b)$

    $(a+b)(b-a)$

  • Question 2:
    1 pts
    Factor the pollynomial using the difference of two squares $9x^{2}-1.$
    $(3x+1)(3x+1)$
    $(3x+1)(3x-1)$
    $(3x-1)(3x-1)$
    none of these
  • Question 3:
    1 pts
    $$4x^{2}+9y^{2}=(2x-3y)(2x+3y)$$
  • Question 4:
    1 pts
    Factor the pollynomial using the difference of two squares $c^{2}-64.$
  • Question 5:
    2 pts
    Factor the pollynomial using the difference of two squares $4a^2-81b^2.$
    $(9a-2b)(9a+2b)$
    $(2a-9b)(2a+9b)$
    $(2a-9b)(2a-9b)$
    $(9a-2b)(9a-2b)$
  • Question 6:
    2 pts
    Factor the pollynomial using the difference of two squares $25-4p^{2}.$

    $(5-2p)(5-2p)$

    $(5-2p)(5+2p)$

    $(5p-2)(5p+2)$

    $(5p-2)(5+2p)$

  • Question 7:
    2 pts
    Factor the pollynomial using the difference of two squares $(b-1)^{2}-196.$

    $(b-15)(b+15)$

    $(b+15)(b+13)$

    $(b-15)(b+13)$

    $(b-13)(b+13)$

  • Question 8:
    2 pts
    Factor the pollynomial using the difference of two squares $(a-2a)^{2}-16.$
    $(a-2)(a+2)$
    $(a-4)(a-4)$
    $(-a+2)(-a+2)$
    $(a-4)(a+4)$
  • Question 9:
    3 pts
    Factor the pollynomial using the difference of two squares $16m^{6}-n^{6}.$

    $(4m^{3}-n^{2})(4m^{3}+n^{2})$

    $(4m^{2}-n^{2})(4m^{2}+n^{2})$

    $(4m^{3}-n^{3})(4m^{3}+n^{3})$

    $(4m^{2}-n^{3})(4m^{2}+n^{3})$

  • Question 10:
    3 pts
    Factor the pollynomial using the difference of two squares $7x^{4}-28y^{4}.$
    $7(x^{2}-2y^{2})(x^{2}+2y^{2})$
    $(2x^{2}-2y^{2})(2x^{2}+2y^{2})$
    $4(x^{2}-2y^{2})(x^{2}+2y^{2})$
    $7(x^{2}-y^{2})(x^{2}+y^{2})$
  • Question 11:
    3 pts
    Factor the pollynomial using the difference of two squares $2x^{4}r-72y^{4}r.$

    $r^{2}(x^{2}-6y^{2})(x^{2}+6y^{2})$

    $36(x^{2}-6y^{2})(x^{2}+6y^{2})$

    $2r(x^{2}-6y^{2})(x^{2}+6y^{2})$

    $2r(x^{2}-3y^{2})(x^{2}+3y^{2})$

  • Question 12:
    3 pts
    Factor the pollynomial using the difference of two squares $294t^{2}-150.$
    $6(5t-7)(5t+7)$
    $5(7t-6)(7t+6)$
    $7(6t-5)(6t+5)$
    $6(7t-5)(7t+5)$