# Factoring difference of squares: $x^2 - y^2$

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##### Intros
###### Lessons
1. What is a "difference of squares"?
##### Examples
###### Lessons
1. Factor:
1. ${x^2} - 49$
2. $4{x^2} + 25$
3. $16 - 9{x^2}$
2. Factor:
1. $100{x^2} - 49{y^2}$
2. $32{x^2} - 242{y^2}$
3. $2{a^3}b - 8a{b^3}$
4. $25{a^2}{b^2} - 4{c^2}$
3. Factor:
1. ${\left( {x - y} \right)^2} - {\left( z \right)^2}$
2. ${\left( {5a + 6b} \right)^2} - {\left( {9a - b} \right)^2}$
3. $169{\left( {x - 3} \right)^2} - 25{\left( {x + 6} \right)^2}$
4. Factoring "difference of squares" more than once

Factor:
1. ${x^4} - 16$
2. $162{a^4} - 2{b^4}$
3. $5{a^7}{b^8} - 80{a^3}{c^4}$