find HCF of the following algebraic expression: x²+xy, xz+yz,x²+ 2xy+y2
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Answer:
Factors of x2 + xy=x(x + y)
Factors of xz + yz=z(x + y)
Factors of x2 + 2xy + y2=(x + y)2 … (from properties of (a + b)2)
GCD is the greatest common divisor, which is equal to the product of all the common divisors.
∴ the GCD of x2 + xy,xz + yz, x2 + 2xy + y2 is (x + y)
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sorry it haven't HCF
please wirte correctly
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