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Alisiya [41]
3 years ago
15

5 / 1/6 + 1/x+1 Math help please

Mathematics
2 answers:
dsp733 years ago
8 0
=5/ (( x+1 +6)/ 6(x+1))
= 5/ (( x+7)/ (6x + 6))
= 5(6x + 6) /x+7
= 30x + 30 / x+ 7
zubka84 [21]3 years ago
5 0
The common denomenators of the denomenaotrs is 6(x+1)
times both the fraction by (6(x+1))/(6(x+1))
we get
(5(6)(x+1))/((x+1)+6)=(30(x+1))/(x+7)=(30x+30)/(x+7)
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Answer:

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Step-by-step explanation:

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3 0
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What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)? –2x + 5 2x – 5 –2x – 5 2x + 5
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ANSWER

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = - 2x+5

EXPLANATION

We have been given the quotient,

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} }
to simplify.

We need to rewrite the numerator as difference of two cubes.

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ {5}^{3} - ( {2x})^{3} }{ 25 + 10x + 4 {x}^{2} }

We need to make use of the difference of cubes formula,

{a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )

We now let,
a = 5 \: and \: b = 2x

Then the numerator becomes,

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 5 (2x) + {(2x)}^{2}) }{ 25 + 10x + 4 {x}^{2} }

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\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 10x + 4 {x}^{2}) }{ 25 + 10x + 4 {x}^{2} }

We cancel out common factors to obtain,

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)}{ 1}

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = 5 - 2x
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2 years ago
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Answer:

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