What should be added to $a^{2} + 2 a b$ to make it a complete square?

b^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 a b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 a

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $b^{2}$
As we know from the formula
${(x + y)}^{2} = x^{2} + 2 x y + y^{2}$
similarly we need to add $b^{2}$ to get whole square, Hence ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$

Suggest Corrections

Similar questions

a^{2} + 2 a b

a^{2} + 2 a b

What term should be substracted to $a^{2} + 2 a b$ to make it a perfect square?

What term should be added to (a^2 - 2ab) to make it a perfect square?

a^{2} - 2 a b

Join BYJU'S Learning Program