Mathematics: Greatest common factor of 12x^3+16xy+4x^2

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Greatest common factor of 12x^3+16xy+4x^2 - id123164213626147, 22katelynfrankouqqrb

Blakemiller2020

04.07.2021

Given:

The expression is:

12x^3+16xy+4x^2

To find:

The greatest common factor of the given expression.

Solution:

We have,

12x^3+16xy+4x^2

The terms of the expression are 12x^3, 16xy, 4x^2 . The factor forms of these terms are:

$12x^3=2\times 2\times 3\times x\times x\times x$

$16xy=2\times 2\times 2\times 2\times x\times y$

$4x^2=2\times 2\times x\times x$

The common factors are 2, 2, x. So, the greatest common factor is:

$G.C.F.=2\times 2\times x$

G.C.F.=4x

After taking out the G.C.F., the given expression can be written as:

12x^3+16xy+4x^2=4x(3x^2+4y+x)

Therefore, the G.C.F. of the given expression is .

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