Calculate the value of the expression using suitable identities $4 \times 2 \times (3^{2} + 1^{2})$

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

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

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

Open in App

Solution

The correct option is B
80

The given expression is

$4 \times 2 \times (3^{2} + 1^{2})$

$= (3 + 1) \times (3 - 1) \times (3^{2} + 1^{2})$

$= (3^{2} - 1^{2}) (3^{2} + 1^{2}) [(a + b) (a - b) = a^{2} - b^{2}]$

$= (3^{2})^{2} - (1^{2})^{2}$

$= 3^{4} - 1$

$= 81 - 1$

$= 80$

Suggest Corrections

Similar questions

Calculate the value of the expression using suitable identity $(12 \times 6)^{2}$

Calculate the value of the expression using suitable identity $(23^{2} - 22^{2})^{2}$

\frac{2 + 1}{2 \times 2 \times 2 + 1 \times 1 \times 1}

12^{2}

{(\frac{a}{4} - \frac{b}{2} + 1)}^{2}

Join BYJU'S Learning Program