Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Simplify: (x + y)(2x + y) + (x + 2y)(x – y)

hint Hint:

Multiplication of polynomials.

Follow three steps while multiplication of polynomials.

First, multiply each term in one polynomial by each term in the other polynomial using the distributive law.
Add the powers of the same variables using the exponent rule.
Then, simplify the resulting polynomial by adding or subtracting the like term

The correct answer is: 3x2 - y2 + 4xy

Step-by-step explanation:

○        Given:
(x + y)(2x + y) + (x + 2y)(x – y)
○        Step 1:
(x + y)(2x + y) + (x + 2y)(x – y)
$rightwards double arrow$ x(2x + y) + y(2x + y) + x(x - y) + 2y(x - y)
$rightwards double arrow$ 2x² + xy + 2xy + y^2. + x² - xy + 2xy - 2y².
○        Step 2:
○        Group like terms:
2x² + x²+ y^2.- 2y² - xy + 2xy + xy + 2xy
   $rightwards double arrow space space$ 3x² - y²+ 4xy

Final Answer:

3x² - y²+ 4xy

Related Questions to study

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
35, 120, 125

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
35, 120, 125

Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39

Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39

parallel

Simplify the expression 4yx + 2yx - 28yx + 3yx

Simplify the expression 4yx + 2yx - 28yx + 3yx

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11

Factor out the GCF from the given polynomial.
$3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$

Factor out the GCF from the given polynomial.
$3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$

parallel

Sketch and label the triangle described.
Side lengths: about 3 m, 7 m, and 9 m, with longest side on the bottom
Angle measures: 16°, 41°, 123°, with smallest angle at the left

Sketch and label the triangle described.
Side lengths: about 3 m, 7 m, and 9 m, with longest side on the bottom
Angle measures: 16°, 41°, 123°, with smallest angle at the left

In △ 𝑅𝑆𝑇, which is a possible side length for ST?

In △ 𝑅𝑆𝑇, which is a possible side length for ST?

Write a trinomial that has a GCF of 4x²

Write a trinomial that has a GCF of 4x²

parallel

If P = 4x² - 5x + 2, Q = 4x² + 3x - 4 and R = 2x² - 5x - 5, find the value of 2P - Q + R

If P = 4x² - 5x + 2, Q = 4x² + 3x - 4 and R = 2x² - 5x - 5, find the value of 2P - Q + R

The areas of rectangles are given. Use factoring to find the expressions for the missing dimensions.

The areas of rectangles are given. Use factoring to find the expressions for the missing dimensions.

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

parallel

Add: 5x² - 8xy + 3y², 4x² + 3xy + 7y², 3x² - 11xy - 8y²

Add: 5x² - 8xy + 3y², 4x² + 3xy + 7y², 3x² - 11xy - 8y²

Use a ruler and protractor to draw an obtuse isosceles triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

Use a ruler and protractor to draw an obtuse isosceles triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.