Question

Find the G.C.D of(2x2-18), (x2-2x-3)



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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

G.C.D of  2x² -18 and x²-2x -3 = (x-3)

Step-by-step explanation:

Given expressions are 2x² -18 and x²-2x -3

To find,

The G.C.D of 2x² -18 and x²-2x -3

Solution:

GCD of these two expressions can be obtained by factorizing these two expression

The first expression is  2x² -18. Factorizing this expression we get

2x² -18 = 2(x² - 9) =  2(x+3)(x-3)

The second expression is  x²-2x -3. Factorizing this expression we get,

x²-2x -3 = x²-3x +x -3

= x(x-3) +1(x-3)

= (x+1)(x-3)

x²-2x -3 = (x+1)(x-3)

The common factors of  2x² -18 and x²-2x -3 = (x-3)

Hence G.C.D of  2x² -18 and x²-2x -3 = (x-3)

Answer:

G.C.D of  2x² -18 and x²-2x -3 = (x-3)

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