Question
Factorise the following by splitting the middle term:$y^2 - 2y - 24$

Answer

$y^2 - 2y - 24$
$= y^2 - 6y + 4y - 24$
$= y(y - 6) + 4(y - 6)$
$=(y - 6)(y + 4).$

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

Similar questions

If $\tan \theta= \cot\theta$ and $0^\circ \leq \theta \leq 90^\circ,$ find the value of $'\theta'.$
In the following figure, $BD$ is parallel to $CA, E$ is mid$-$point of $CA$ and $BD = `1/2`CA$.Prove that: $ar. ( \triangle ABC ) = 2 \times ar.( \triangle DBC )$
​​​​​​​
If the length of a rectangle is increased by 10 cm and the breadth decreased by 5 cm, the area remains unchanged. If the length is decreased by 5 cm and the breadth is increased by 4 cm, even then the area remains unchanged. Find the dimensions of the rectangle.
6 men and 8 boys can finish a piece of work in 14 days while 8 men and 12 boys can do it in 10 days. Find the time taken by one man alone and that by one boy alone to finish the work.
Evaluate the following without using log table:
$\frac{\log 9-\log 3}{\log 27}$
The mean of the heights of 6 girls is 148 cm. If the individual heights of five of them are 142 cm, 154 cm, 146 cm, 145 cm and 150 cm, find the height of the sixth girl.
The dimensions of a field are 15 m 12 m. A pit 7.5 m 6 m 1.5 m is dug in one corner of the field and the earth removed from it, is evenly spread over the remaining area of the field. Calculate, by how much the level of the field is raised.
Find three rational numbers between: $\frac{1}{2}$ and $\frac{3}{5}$
If $5 \cos \theta = 3,$ evaluate :$\frac{\operatorname{cosec} \theta-\cot \theta}{\operatorname{cosec} \theta+\cot \theta}$
A Rubik's cube is made up of several small cubes. Side lengths of each small cube is x. Find the outer surface area of the cube present at one of the corners of the Rubik's cube.
Image