6x-4 - 18x-3 - 3x-2-3x-2 - nbsp-2x-2 - 6x - 12x-2 - 6x - 12x-2 - 6x - 1x-2 - 6x - 1

The correct option is A 2x^2 + 6x 1The given expression 6x^4 + 18x^3 3x^2/3x^2 can be written as, nbsp;6x^4/3x^2 + 18x^3/3x^2 3x^2/3x^2 =2× 3× x× x× ...

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Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Monomial

6x^4 + 18x^3 ...

Question

$\frac{6 x^{4} + 18 x^{3} - 3 x^{2}}{3 x^{2}}$ =

2 x^{2} + 6 x - 1

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2 x^{2} + 6 x + 1

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2 x^{2} - 6 x - 1

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x^{2} + 6 x - 1

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Solution

The correct option is A $2 x^{2} + 6 x - 1$
The given expression

$\frac{6 x^{4} + 18 x^{3} - 3 x^{2}}{3 x^{2}}$ can be written as,

$\frac{6 x^{4}}{3 x^{2}} + \frac{18 x^{3}}{3 x^{2}} - \frac{3 x^{2}}{3 x^{2}}$

$= \frac{2 \times 3 \times x \times x \times x \times x}{3 \times x \times x} + \frac{2 \times 3 \times 3 \times x \times x \times x}{3 \times x \times x} - \frac{3 \times x \times x}{3 \times x \times x}$

= $2 x^{2} + 6 x - 1$

Suggest Corrections

6x4+18x3−3x23x2 =

The correct option is A 2x2+6x−1The given expression 6x4+18x3−3x23x2 can be written as, 6x43x2+18x33x2−3x23x2 =2×3×x×x×x×x3×x×x+2×3×3×x×x×x3×x×x−3×x×x3×x×x = 2x2+6x−1

$\frac{6 x^{4} + 18 x^{3} - 3 x^{2}}{3 x^{2}}$ =