Algebra, equations, and inequalities - Factoring - Difference of Two Squares
3 important questions on Algebra, equations, and inequalities - Factoring - Difference of Two Squares
Write the following variables as the square of the variable to half the exponent.
1) x^6
2) x^8
3) x^12
1) (x^3)^2
2)(x^4)^2
3) (x^6)^2
Use the Difference of Two Squares pattern to factor the following expressions:
1) x^6 - 16
2) x^8 - 9y^2
3) x^7 - 4x^5
4) x^4 - 81
1) (x^3 - 4) (x^3 + 4)
2) (x^4 + 3y) (x^4 - 3y)
3) x^5 (x^2 - 4) = x^5(x +2) ( x -2)
4) x^2 + 9) (x^2 - 9)
= (x^2 + 9) (x - 3) (x + 3)
Practice questions (from video lesson)
1) y^2 - 25 2) 25s^2 - t^4
1) (y - 5) (y + 5)
2) (5s - t^2)(5s + t^2)
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