Factorise (i) 30x 3 y + 24x 2 y 2 – 6xy (ii) 5x(a – b) + 6y(a –b)

Question

Factorise (i) 30x 3 y + 24x 2 y 2 &#x2013; 6xy (ii) 5x(a &#x2013; b) + 6y(a &#x2013;b)

Philoid · Accepted Answer

(i) The greatest monomial that is a common factor of the three terms is 6xy.
.^.. 30x³y + 24x²y² - 6xy = 6xy(5x² + 4xy – 1)
(ii) Here the polynomial (a – b) is a common factor.
.^..5x(a – b) + 6y(a – b) = (a – b)(5x + 6y)

Factorise (i) 30x3y + 24x2y2 – 6xy(ii) 5x(a – b) + 6y(a –b)

Factorise
(i) 30x³y + 24x²y² – 6xy
(ii) 5x(a – b) + 6y(a –b)