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