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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 $294t^{2}-150.$
 $6(5t-7)(5t+7)$ $5(7t-6)(7t+6)$ $7(6t-5)(6t+5)$ $6(7t-5)(7t+5)$