Q3 A of 42 Page 136

Let’s find G.C.D of the following algebraic expression:

5x(x + y),x3-xy2


5x(x + y), x3-xy2


Factors of 5x(x + y)=5×x×(x + y)


x3-xy2=x(x2-y2)


Apply the formula a2 – b2 = (a + b)(a-b)


=x(x + y)(x-y)


Factors of x3-xy2= x(x + y)(x-y)


GCD is the greatest common divisor, which is equal to the product of all the common divisors.


∴the GCD 5x(x + y), x3-xy2 is x(x + y)


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