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2 years ago

Which expressions are equivalent to the expression below?

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

8 0

Given :-

-1/3 - ( -4 + 1/6 )

To Find :-

The expression that is equivalent to one of the choices given .

Solution :-

As we know that ,

→ (-) × (-) = (+)

→ (-) × (+) = (-)

→ (+) × (-) = (-)

→ (+) × (+) = (+)

On using these open the brackets ,

→ -1/3 - 1( -4 + 1/6 )

→ -1/3 - 1(-4) + -1(+1/6)

→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)

On using now above stated rules ,

→ -1/3 +4 -1/6

Somewhat rearrange ,

→ 4 -1/3 -1/6

Take (-) as common,

→ 4 - (1/3 +1/6)

Hence Option (d) & (f) are correct .

I hope this helps.

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Explanation:

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$4 \log _{w}\left(x^{2}-6\right)-\log _{w}(\sqrt[3]{x^{2}+8})$

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Applying the log rule, $\log _{a}\left(x^{b}\right)=b\cdot\log _{a}(x)$ , we have,

$4 \log _{w}\left(x^{2}-6\right)-\frac{1}{3} \log _{w}({x^{2}+8})$

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