The hcf of the polynomial(x square -4x plus 4)(x plus 3) and (x square plus 2x -3)(x-2)
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(x²-4x+4)(x+3)
=(x²-2.x.2+2²)(x+3)
=(x-2)²(x+3)
(x²+2x-3)(x-2)
=(x²+3x-x-3)(x-2)
={x(x+3)-1(x+3)}(x-2)
=(x+3)(x-1)(x-2)
∴, the HCF is: (x+3)(x-2)
=(x²-2.x.2+2²)(x+3)
=(x-2)²(x+3)
(x²+2x-3)(x-2)
=(x²+3x-x-3)(x-2)
={x(x+3)-1(x+3)}(x-2)
=(x+3)(x-1)(x-2)
∴, the HCF is: (x+3)(x-2)
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