## Pages

### Difference of squares worksheet - 2

Factor the following expressions with the help of difference of squares formula

 x^8 - y^8 (x-y) (x+y) (x^2+y^2) (x^4+y^4) (x + 5)^2/36 - (y - 5)^2/64 ((x + 5)/6 - (y - 5)/8)((x + 5)/6 + (y - 5)/8), which can be simplified to ((4x + 3y + 5)(4x - 3y + 35))/576 sqrt(x^2 - 1) sqrt((x + 1)(x - 1)) x^2/225 - y^2/100 (x/15 + y/10)(x/15 - y/10) a^4b^2 - b^4a^2 (a^2b^2)(a + b)(a - b) 100x^2 - 324y^2 (10x + 18y)(10x - 18y) 8x^2 - 72y^2 8(x + 3y)(x - 3y) (x + 1)^2 - (y - 1)^2 ((x + 1) + (y - 1))((x + 1) - (y - 1)), which can be simplified to (x + y)(x - y + 2) (a^2 - b^2)^2 - (a^2 + b^2)^2 ((a^2 - b^2) + (a^2 + b^2))((a^2 - b^2) - (a^2 + b^2)), which can be simplified to -4a^2b^2 x^2/64 - 16y^2 (x/8 - 4y)(x/8 + 4y)