Question

G.C.D OF(a-4)^4,(b+c)^3,(c-a)^7 is______​

Answer 1

SOLUTION

TO DETERMINE

$\sf{GCD \: of \: \: {(a - 4)}^{4} , {(b + c)}^{3} , {(c - a)}^{7} }$

EVALUATION

Here the given polynomials are

$\sf{ {(a - 4)}^{4} , {(b + c)}^{3} , {(c - a)}^{7} }$

Now

$\sf{ {(a - 4)}^{4} = (a - 4) (a - 4) (a - 4) (a - 4)}$

$\sf{ {(b + c)}^{3} = (b + c)(b + c)(b + c) }$

$\sf{ {(c - a)}^{7} = (c - a)(c - a)(c - a)(c - a)(c - a)(c - a)(c - a)}$

Since there is no common divisor of the above mentioned polynomials

So the required GCD = 1

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Answer 2

1

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