Download App

Division of Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsDivision of Algebraic Expressions3 Marks
Question
Divide $\sqrt{3}\text{a}^4+2\sqrt{3}\text{a}^3+3\text{a}^2-6\text{a}\text{ by } 3\text{a}.$
✓

Answer

$\frac{\sqrt{3}\text{a}^4+2\sqrt{3}\text{a}^3+3\text{a}^2-6\text{a}}{3\text{a}}$
$=\frac{\sqrt{3}\text{a}^4}{3\text{a}}+\frac{2\sqrt{3}\text{a}^2}{3\text{a}}+\frac{3\text{a}^2}{3\text{a}}-\frac{6\text{a}}{3\text{a}}$
$=\frac{1}{\sqrt{3}}\text{a}^{(4-1)}+\frac{2}{\sqrt{3}}\text{a}^{(3-1)}+\text{a}^{(2-1)}-2$
$=\frac{1}{\sqrt{3}}\text{a}^3+\frac{2}{\sqrt{3}}\text{a}^2+\text{a}-2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Division of Algebraic Expressions→Division of Algebraic Expressions — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles are equal. Find the measure of each of these equal angles.
→
A cistern can be filled by one tap in 8 hours, and by another in 4 hours. How long will it take to fill the cistern if both taps are opened together?
→
If $x+y=12$ and $x y=14$, find the value of $\left(x^2+y^2\right)$
→
Expand :

(7m – 3n – 4k)²

→
Find the area, in square metres, of the trapezium whose bases and altitudes are as under:
bases $=8 m$ and 60 dm , altitude $=40 dm$
→
Solve:
9x + 5 = 4(x - 2) + 8
→
Simplify:
$3 a^2+2(a+2)-3 a(2 a+1)$
→
Evaluate $\sqrt{3}$ correct up to two places of decimal.
→
A school has 9 periods a day each of 40 minutes duration. How long would each period be, if the school has 8 periods a day, assuming the number of school hours to be the same?
→
Find the square root of the following correct to three places of decimal:15.3215
→