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The learner will factor a difference of two squares.

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Factoring a Difference of Two Squares

Factor the following expression completely.

$k^{2}-9$

$(k^{2}+3)(k^{2}-3)$
$(k+81)(k-81)$
$(k+3)(k-3)$
$(k+9)(k-9)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$b^{2}-64$

$(b+16)(b-16)$
$(b+4)(b-4)$
$(b+8)(b-8)$
$(b+32)(b-32)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$16x^{2}-49$

$(16x+7)(16x-7)$
$(4x+49)(4x-49)$
$(x+7)(x-7)$
$(4x+7)(4x-7)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$25y^{2}-81$

$(y+9)(y-9)$
$(5y+9)(5y-9)$
$(5y+81)(5y-81)$
$(25y+9)(25y-9)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$9-100w^{2}$

$(3+w)(3-w)$
$(3+10w)(3-10w)$
$(9+10w)(9-10w)$
$(3+50w)(3-50w)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$4x^{2}-49y^{2}$

$(7y+2x)(7y-2x)$
$(2x+7y)(2x-7y)$
$(2x+7)(2x-7)$
$(2+7y)(2-7y)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$121a^{2}-16b^{2}$

$(11a+8b)(11a-8b)$
$(11a+4)(11a-4)$
$(11+4b)(11-4b)$
$(11a+4b)(11a-4b)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$36s^{4}-25$

$(6s+5)(6s-5)$
$(18s^{2}+5)(18s^{2}-5)$
$(6s^{2}+25)(6s^{2}-25)$
$(6s^{2}+5)(6s^{2}-5)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$1-64x^{4}$

$(1-8x^{2})(1-8x^{2})$
$(8x^{2}+1)(8x^{2}-1)$
$(1+32x^{2})(1-32x^{2})$
$(1+8x^{2})(1-8x^{2})$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$49s^{4}-4t^{2}$

$(7s+2t)(7s-2t)$
$(7s^{2}+2t^{2})(7s^{2}-2t^{2})$
$(7s^{2}+4t)(7s^{2}-4t)$
$(7s^{2}+2t)(7s^{2}-2t)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$v^{2}-25w^{4}$

$(v+5w^{2})(v-5w^{2})$
$(v+5w)(v-5w)$
$(v^{2}+5w^{2})(v^{2}-5w^{2})$
$(v+25w^{2})(v-25w^{2})$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$9x^{6}-1$

$(3x^{3}+1)(3x^{3}-1)$
$(3x+1)(3x-1)$
$(3x^{2}+1)(3x^{2}-1)$
$(9x^{3}+1)(9x^{3}-1)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$25a^{8}-4b^{6}$

$(5a+2b)(5a-2b)$
$(5a^{4}+2b^{3})(5a^{4}+2b^{3})$
$(5a^{4}+4b^{3})(5a^{4}-4b^{3})$
$(5a^{4}+2b^{3})(5a^{4}-2b^{3})$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$100-x^{14}$

$(10+x^{7})(10-x^{7})$
$(50+x^{7})(50-x^{7})$
$(x^{7}+10)(x^{7}-10)$
$(10+x)(10-x)$

Question 1 of 10

Factoring a Difference of Two Squares

Factor the following expression completely.

$9z^{26}-25w^{12}$

$(3z+5w)(3z-5w)$
$(3z^{13}+5w)(3z^{13}-5w)$
$(3z+5w^{6})(3z-5w^{6})$
$(3z^{13}+5w^{6})(3z^{13}-5w^{6})$

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

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Factoring a Difference of Two Squares by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.