Question

the common factor of 72x^3y^4z^4 , 120 z^2d^2x^4 and 96y^3z^4d^4​

Answer 1

Answer:

The common factor for complete question is 24 z square

Answer 2

The common factor of $\bf 72 {x}^{3} {y}^{4} {z}^{4}$, $\bf 120 {z}^{2} {d}^{2} {x}^{4} \text {and}\: \bf96 {y}^{3} {z}^{4} {d}^{4}$ is $\bf 24 {z}^{2}$

Given:

• Three expressions
• $72 {x}^{3} {y}^{4} {z}^{4}$
• $120 {z}^{2} {d}^{2} {x}^{4}$
• $96 {y}^{3} {z}^{4} {d}^{4}$

To find:

• Find common factor.

Solution:

To find common factor of given expressions, analyse the expression.

Step 1:

Find greatest common factors of 72, 120 and 96.

72=24×3

120=24×5

96=24×4

It is clear that 24 is greatest common in all numbers i.e. 72, 120 and 96.

Step 2:

Now common factor of variables can be search by taking the variables which is present in all expressions.

It is clear that z is common in all.

Power of z should be taken carefully, z² is present in all terms.

Thus,

$\bf 24 {z}^{2} \:$ is common factor of $72 {x}^{3} {y}^{4} {z}^{4}, \: 120 {z}^{2} {d}^{2} {x}^{4} \text {and} \: 96 {y}^{3} {z}^{4} {d}^{4}$

Learn more:

1) determine the greatest common monomial factor of polynomial and write its factored form

1. x²+2x

2. 5x² - 10x³

3. 25x²y

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45(x⁴ - x³ - x²) and 75(8x⁵ + x²)

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