The rational expression 8x3-125-4x2-10x-25 in its simplest form is

The correct option is D 2x 5 8x^3 1254x^2+10x+25= ( 2x )^3 5^34x^2+10x+25 = ( 2x 5 ) ( 4x^2+10x+25 )4x^2+10x+25 = 2x 5 ...

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Byju's Answer

Standard X

Mathematics

Method of Finding HCF

The rational ...

Question

The rational expression $\frac{8 x^{3} - 125}{4 x^{2} + 10 x + 25}$ in its simplest form is

2 x

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5

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2 x + 5

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2 x - 5

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Solution

The correct option is D $2 x - 5$
$\frac{8 x^{3} - 125}{4 x^{2} + 10 x + 25} = \frac{{(2 x)}^{3} - 5^{3}}{4 x^{2} + 10 x + 25}$
$= \frac{(2 x - 5) (4 x^{2} + 10 x + 25)}{4 x^{2} + 10 x + 25}$
$= 2 x - 5$

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Similar questions

Q. Tick (✓) the correct answer:
(2x + 5)(2x − 5) = ?
(a) (4x² + 25)
(b) (4x² − 25)
(c) (4x² − 10x + 25)
(d) (4x² + 10x − 25)

Tick $(✓)$ the correct answer in each of the following:
$(2 x + 5) (2 x - 5) = ?$
(a) $(4 x^{2} + 25)$
(b) $(4 x^{2} - 25)$
(c) $(4 x^{2} - 10 x + 25)$
(d) $(4 x^{2} + 10 x - 25)$

Q. Express the rational expression

\frac{x^{2} - 2 x - 3}{2 x^{2} - 3 x - 5}

in its lowest terms.

10 x - 25 \div 2 x - 5

Q. Factorize:

10 x - 25 \div 2 x - 5

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The rational expression 8x3−1254x2+10x+25 in its simplest form is

The correct option is D 2x−58x3−1254x2+10x+25=(2x)3−534x2+10x+25=(2x−5)(4x2+10x+25)4x2+10x+25=2x−5

The rational expression $\frac{8 x^{3} - 125}{4 x^{2} + 10 x + 25}$ in its simplest form is

The correct option is D $2 x - 5$
$\frac{8 x^{3} - 125}{4 x^{2} + 10 x + 25} = \frac{{(2 x)}^{3} - 5^{3}}{4 x^{2} + 10 x + 25}$
$= \frac{(2 x - 5) (4 x^{2} + 10 x + 25)}{4 x^{2} + 10 x + 25}$
$= 2 x - 5$