The value of $(71)^{2} - (100)^{2} - (29)^{2}$ is equal to

-11000

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

-11600

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

-5800

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

-7800

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

Open in App

Solution

The correct option is C -5800
$(71)^{2} - (100)^{2} - (29)^{2}$
$= (100 - 29)^{2} - (100)^{2} - (29)^{2}$
$= (100)^{2} + (29)^{2} - 2 (100) (29) - (100)^{2} - (29)^{2}$ [ $∵ (a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]
$= - 5800$
Hence, the correct answer is option (3).

Suggest Corrections

Similar questions

The value of $100^{2} - 99^{2}$ is equal to

The value of $72^{2} - 71^{2}$ is equal to

{(4 \frac{11}{15} + \frac{15}{71})}^{2} - {(4 \frac{11}{15} - \frac{15}{71})}^{2}

[0, 1]

f (x) = x^{1005} (1 - x)^{1002}

(1002)^{2}

Join BYJU'S Learning Program