Question

Solve : 7x ²y² z² ÷ 14xyz

the options in the picture

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Answer 1

Step-by-step explanation:

Given:

$\frac{7 {x}^{2} {y}^{2} {z}^{2} }{14xyz}$

To find:Choose the correct option

$a)2z \\ \\ b)4x \\ \\ c)3y \\ \\ d) \frac{xyz}{2}$

Solution:

To solve such questions,cancel the common terms from numerator and denominator

Step 1: Write the expression

$\frac{7 {x}^{2} {y}^{2} {z}^{2} }{14xyz}$

Step 2: Cancel common terms

$= \frac{ \cancel \pink7 {x}^{ \cancel\red2} {y}^{ \cancel\green2} {z}^{\cancel\blue 2} }{ \pink2 \: \cancel{ \pink{14}}\cancel\red x \: \cancel\green y \cancel\blue z} \\ \\ = \frac{xyz}{2}$

Final answer:

Option 4 is correct.

$\bold{ \red{\frac{7 {x}^{2} {y}^{2} {z}^{2} }{14xyz} = \frac{xyz}{2}}}$

Hope it helps you.

To learn more on brainly:

given x²+1/x²=7 and x not equal to 0 find x²-1/x² write the steps also.

https://brainly.in/question/42994415