Question
Factorise $: 6a^2 - a - 15$
✓
Answer
$6a^2 - a - 15$
$= 6a^2 - 10a + 9a - 15$
$= 2a( 3a - 5 ) + 3( 3a - 5 )$
$= ( 2a + 3 )( 3a - 5 )$
$= 6a^2 - 10a + 9a - 15$
$= 2a( 3a - 5 ) + 3( 3a - 5 )$
$= ( 2a + 3 )( 3a - 5 )$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Define the following term:
Class-mark
Class-mark
If $\sin \theta=\frac{\sqrt{3}}{2}$, find the value of $(\operatorname{cosec} \theta+\cot \theta)$.
→In the given figure, $X Y\|B C, B E\| C A$ and $F C \| A B$.
Prove that: $\operatorname{ar}(\triangle ABE )=\operatorname{ar}(\triangle ACF )$.
→Prove that: $\operatorname{ar}(\triangle ABE )=\operatorname{ar}(\triangle ACF )$.
The length and the breadth of a rectangle are $6 \ cm$ and $4 \ cm$ respectively. Find the height of a triangle whose base is $6 \ cm$ and the area is $3$ times that of the rectangle.
→Simplify :$\log (a)^3÷ \log a$
→Expand:
$(3 a b-2 c)^3$
→$(3 a b-2 c)^3$
Convert the following to logarithmic form :
$(64)^{\frac{1}{3}}=4$
→$(64)^{\frac{1}{3}}=4$
The arithmetic mean $M$ of the five numbers $a, b, c, d, e$ is equal to their sum divided by the number of quantities. Express it as a formula.
→Using the standard formulae, expand:
$\left(\frac{a}{2}+\frac{b}{3}+\frac{c}{4}\right)^2$
→$\left(\frac{a}{2}+\frac{b}{3}+\frac{c}{4}\right)^2$
Write the slope of the line whose inclination is$: 30^\circ $
→