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Question

# Find the common factor of the expression: 6x3y4z5+9x5y2z6+24x2y7z4.

A

6x3y2z2

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B

3x2y2z4

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C

2x3y2z4

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D

3x5y7z5

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Solution

## The correct option is B 3x2y2z4 6x3y4z5=2×3×x3×y4×z5.​ 9x5y2z6=3×3×x5×y2×z6​ 24x2y7z4=2×2×2×3×x2×y7×z4​ The highest common factor of 6, 9 and 24 = 3 The highest power of x that is a factor in all the terms = x2​ The highest power of y that is a factor in all the terms = y2​ The highest power of z that is a factor in all the terms = z4​ Thus, the highest common factor of the terms = 3x2y2z4​

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