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  • 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 a2−b2a^{2}-b^{2} is

    (a−b)(a−b)(a-b)(a-b)

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

    (a+b)(a−b)(a+b)(a-b)

    (a+b)(b−a)(a+b)(b-a)

  • Question 2:
    1 pts
    		Factor the pollynomial using the difference of two squares 9x2−1.9x^{2}-1.
    (3x+1)(3x+1)(3x+1)(3x+1)
    (3x+1)(3x−1)(3x+1)(3x-1)
    (3x−1)(3x−1)(3x-1)(3x-1)
    none of these
  • Question 3:
    1 pts
    		4x2+9y2=(2x−3y)(2x+3y)4x^{2}+9y^{2}=(2x-3y)(2x+3y)
  • Question 4:
    1 pts
    		Factor the pollynomial using the difference of two squares c2−64.c^{2}-64.
  • Question 5:
    2 pts
    		Factor the pollynomial using the difference of two squares 4a2−81b2.4a^2-81b^2.
    (9a−2b)(9a+2b)(9a-2b)(9a+2b)
    (2a−9b)(2a+9b)(2a-9b)(2a+9b)
    (2a−9b)(2a−9b)(2a-9b)(2a-9b)
    (9a−2b)(9a−2b)(9a-2b)(9a-2b)
  • Question 6:
    2 pts
    		Factor the pollynomial using the difference of two squares 25−4p2.25-4p^{2}.

    (5−2p)(5−2p)(5-2p)(5-2p)

    (5−2p)(5+2p)(5-2p)(5+2p)

    (5p−2)(5p+2)(5p-2)(5p+2)

    (5p−2)(5+2p)(5p-2)(5+2p)

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

    (b−15)(b+15)(b-15)(b+15)

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

    (b−15)(b+13)(b-15)(b+13)

    (b−13)(b+13)(b-13)(b+13)

  • Question 8:
    2 pts
    		Factor the pollynomial using the difference of two squares (a−2a)2−16.(a-2a)^{2}-16.
    (a−2)(a+2)(a-2)(a+2)
    (a−4)(a−4)(a-4)(a-4)
    (−a+2)(−a+2)(-a+2)(-a+2)
    (a−4)(a+4)(a-4)(a+4)
  • Question 9:
    3 pts
    		Factor the pollynomial using the difference of two squares 16m6−n6.16m^{6}-n^{6}.

    (4m3−n2)(4m3+n2)(4m^{3}-n^{2})(4m^{3}+n^{2})

    (4m2−n2)(4m2+n2)(4m^{2}-n^{2})(4m^{2}+n^{2})

    (4m3−n3)(4m3+n3)(4m^{3}-n^{3})(4m^{3}+n^{3})

    (4m2−n3)(4m2+n3)(4m^{2}-n^{3})(4m^{2}+n^{3})

  • Question 10:
    3 pts
    		Factor the pollynomial using the difference of two squares 7x4−28y4.7x^{4}-28y^{4}.
    7(x2−2y2)(x2+2y2)7(x^{2}-2y^{2})(x^{2}+2y^{2})
    (2x2−2y2)(2x2+2y2)(2x^{2}-2y^{2})(2x^{2}+2y^{2})
    4(x2−2y2)(x2+2y2)4(x^{2}-2y^{2})(x^{2}+2y^{2})
    7(x2−y2)(x2+y2)7(x^{2}-y^{2})(x^{2}+y^{2})
  • Question 11:
    3 pts
    		Factor the pollynomial using the difference of two squares 2x4r−72y4r.2x^{4}r-72y^{4}r.

    r2(x2−6y2)(x2+6y2)r^{2}(x^{2}-6y^{2})(x^{2}+6y^{2})

    36(x2−6y2)(x2+6y2)36(x^{2}-6y^{2})(x^{2}+6y^{2})

    2r(x2−6y2)(x2+6y2)2r(x^{2}-6y^{2})(x^{2}+6y^{2})

    2r(x2−3y2)(x2+3y2)2r(x^{2}-3y^{2})(x^{2}+3y^{2})

  • Question 12:
    3 pts
    		Factor the pollynomial using the difference of two squares 294t2−150.294t^{2}-150.
    6(5t−7)(5t+7)6(5t-7)(5t+7)
    5(7t−6)(7t+6)5(7t-6)(7t+6)
    7(6t−5)(6t+5)7(6t-5)(6t+5)
    6(7t−5)(7t+5)6(7t-5)(7t+5)

Basics of polynomials

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