Question

What is the simplified form of the following expression? 7 (RootIndex 3 StartRoot 2 x EndRoot) minus 3 (RootIndex 3 StartRoot 16 x EndRoot) minus 3 (RootIndex 3 StartRoot 8 x EndRoot)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

7(∛2x ) - 3(∛18x) - 3(∛8x)= 7(∛2x ) - 6(∛x)

Given:

• 7(∛2x ) - 3(∛18x) - 3(∛8x)

To Find:

• Simplify the expression

Solution:

7(∛2x ) - 3(∛18x) - 3(∛8x)

Step 1:

Prime factorize 18 and 8

7(∛2x ) - 3(∛2*2*2*2x) - 3(∛2*2*2x)

Step 2:

Rewrite 2*2*2 as 2³

7(∛2x ) - 3(∛2³*2x) - 3(∛2³x)

Step 3:

Use ∛a³  = a

7(∛2x ) - 3*2(∛2x) - 3*2(∛x)

Step 4:

Multiply 3 and 2

7(∛2x ) - 6(∛2x) - 6(∛x)

Step 5:

Perform subtraction of like terms

7(∛2x ) - 6(∛x)

Hence, 7(∛2x ) - 3(∛18x) - 3(∛8x)= 7(∛2x ) - 6(∛x)

3rd option is correct