Question
Factorize of the following algebraic expression:(2x - 3y)(a + b) + (3x - 2y)(a + b)
✓
Answer
(2x - 3y)(a + b) + (3x - 2y)(a + b)= (2x - 3y + 3x -2y)(a + b) [taking (a + b) as the common factor]
= (5x - 5y)(a + b)
= 5(x - y)(a +b) [taking 5 as the common factor of (5x -5y)]
= (5x - 5y)(a + b)
= 5(x - y)(a +b) [taking 5 as the common factor of (5x -5y)]
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
The curved surface area of a cylinder is $1320 cm^2$ and its base has diameter 21 cm . Find the height of the cylinder.
→Find x, if
$\Big(\frac{2}{5}\Big)^{-3}\times\Big(\frac{2}{5}\Big)^{15}=\Big(\frac{2}{5}\Big)^{2+3\text{x}}$
→$\Big(\frac{2}{5}\Big)^{-3}\times\Big(\frac{2}{5}\Big)^{15}=\Big(\frac{2}{5}\Big)^{2+3\text{x}}$
Expand:
$(7 x+2 y)^2$
→$(7 x+2 y)^2$
In the given figure ABCD is a square. Find the measure of $\angle\text{CAD}.$
→Simplify:
$\frac{4}{9}\div\frac{-5}{12}$
→$\frac{4}{9}\div\frac{-5}{12}$
Using the formula $(a-b)^2=\left(a^2-2 a b+b^2\right)$, evaluate:
$(196)^2$
→$(196)^2$
Subtract:
$\frac{-32}{13}\ \text{from}\ \frac{-6}{5}$
→$\frac{-32}{13}\ \text{from}\ \frac{-6}{5}$
Solve:
$a^2+2 a b+b^2-16$
→$a^2+2 a b+b^2-16$
The following figures are parallelograms. Find the degree values of the unknowns x, y, z.
Shikha's income is 60% more than that of Shalu. What percent is Shalu's income less than Shikha's?