Question
Simplify: $(x + y) (2x + y) + (x + 2y) (x - y)$
✓
Answer
The product of $(x + y) (2x + y) +(x + 2y) (x - y)$
$= x(2x + y) + y(2x + y) + x(x - y) + 2y(x - y)$
$= 2x^2+ xy + 2xy + y^2+ x^2- xy + 2xy - 2y^2$
$= (2x^2+ x^2) + (xy + 2xy - xy + 2xy) + (y^2- 2y^2)$ [grouping like terms]
$= 3x^2+ 4xy - y^2$
$= x(2x + y) + y(2x + y) + x(x - y) + 2y(x - y)$
$= 2x^2+ xy + 2xy + y^2+ x^2- xy + 2xy - 2y^2$
$= (2x^2+ x^2) + (xy + 2xy - xy + 2xy) + (y^2- 2y^2)$ [grouping like terms]
$= 3x^2+ 4xy - y^2$
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
Why is it incorrect to call the solid shown here a cylinder?
Express $4.5 \times 10^4$ in usual form.
→Find the solution of $3 x+4=2 x+5$.
→Write down the number of faces of the following figures: Cube.
Multiply the following:
$ -7 p q^2 r^3,-13 p^3 q^2 r $
→$ -7 p q^2 r^3,-13 p^3 q^2 r $
Find the squares of the following numbers using the identity $(a + b)^2= a^2+ 2ab + b^2: 605$
→Find the product of the cube of $(-2)$ and the square of $(+4)$.
→Solve:
$4x^4+ 1$
→$4x^4+ 1$
Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number. $8000$
→A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey.
From this pie chart answer. If a cassette company were to make $1000\ CD’s$, how many of each type would they make?
→From this pie chart answer. If a cassette company were to make $1000\ CD’s$, how many of each type would they make?