Question

Factorise the following by taking out the common factors:
5a(x² - y²) + 35b(x² - y²)

Answer 1

5a(x² - y²) + 35b(x² - y²)
Here, the common factor is 5(x² - y²).
Dividing throughout by 5(x² - y²). we get

`(5"a"(x^2 - y^2))/(5(x^2 - y^2)) + (35"b"(x^2 - y^2))/(5(x^2 - y^2)`
= a + 7b
∴ 5a(x² - y²) + 35b(x² - y²)
= 5(x² - y²)(a + 7b).