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Factor Difference of Squares Simple and Effective Visual Model Using Rectangle Tiles
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Difference of squares can be factored as product of sum and difference. In general, x^2-y^2=(x+y)(x-y). Sometimes, the perfect squares are hidden in the given expression. In that case you need to rearrange and group factor first. The 8 examples will provide complete understanding of such factoring.
Practice Questions: Factor Fully to ensure that all the terms can no further be factored as illustrated in Q6 and Q7.
Q1 x^2-1 Q2 〖4x〗^2-9
Q3 3x^2-12y^2 Q4 〖18a〗^2-50
Q5 〖3(x-1)〗^2-27 Q6 x^4-1
Q7 x^8-256 Q8 (x-y)^2-(x+y)^2
Practice Questions: Factor Fully to ensure that all the terms can no further be factored as illustrated in Q6 and Q7.
Q1 x^2-1 Q2 〖4x〗^2-9
Q3 3x^2-12y^2 Q4 〖18a〗^2-50
Q5 〖3(x-1)〗^2-27 Q6 x^4-1
Q7 x^8-256 Q8 (x-y)^2-(x+y)^2
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