(i) 5x (x+y), x3-xy2
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Answer:
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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