# Solve: ${\left( {a + b} \right)^2} - {a^2} - {b^2} = $?

Answer

Verified

327.9k+ views

Hint- Here, we will be using the formula for ${\left( {a + b} \right)^2}$.As the problem depends on the algebraic identities.

As we know that ${\left( {a + b} \right)^2} = {a^2} + {b^2} + 2ab$

Using the above formula in the given expression which needs to be simplified.

$

{\left( {a + b} \right)^2} - {a^2} - {b^2} = {a^2} + {b^2} + 2ab - {a^2} - {b^2} = 2ab \\

\therefore {\left( {a + b} \right)^2} - {a^2} - {b^2} = 2ab \\

$

Note- In these types of problems, the given expression which needs to be simplified is done by using some appropriate formula. In this particular problem, in the given expression ${\left( {a + b} \right)^2}$ is there so we will simply it by using the formula for ${\left( {a + b} \right)^2}$.

As we know that ${\left( {a + b} \right)^2} = {a^2} + {b^2} + 2ab$

Using the above formula in the given expression which needs to be simplified.

$

{\left( {a + b} \right)^2} - {a^2} - {b^2} = {a^2} + {b^2} + 2ab - {a^2} - {b^2} = 2ab \\

\therefore {\left( {a + b} \right)^2} - {a^2} - {b^2} = 2ab \\

$

Note- In these types of problems, the given expression which needs to be simplified is done by using some appropriate formula. In this particular problem, in the given expression ${\left( {a + b} \right)^2}$ is there so we will simply it by using the formula for ${\left( {a + b} \right)^2}$.

Last updated date: 29th May 2023

•

Total views: 327.9k

•

Views today: 6.86k

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India