Evaluate: $(4 n^{2} - 2 + 3 n) (10 n + n^{3})$

4 n^{5} + 3 n^{4} + 38 n^{3} - 30 n^{2} - 20 n

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

4 n^{5} + 3 n^{4} + 38 n^{3} + 30 n^{2} - 20 n

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

n^{5} + 3 n^{4} + 38 n^{3} + 30 n^{2} - 20 n

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

4 n^{5} + 3 n^{4} + 38 n^{3} + 30 n^{2} - 20

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

Open in App

Solution

The correct option is B $4 n^{5} + 3 n^{4} + 38 n^{3} + 30 n^{2} - 20 n$
$(4 n^{2} - 2 + 3 n) (10 n + n^{3})$
Multiply the coefficients and add the exponents of the variable.
$=$ $4 n^{2} .10 n + 4 n^{2} . n^{3} - 2.10 n - 2. n^{3} + 3 n .10 n + 3 n . n^{3}$
$=$ $40 n^{3} + 4 n^{5} - 20 n - 2 n^{3} + 30 n^{2} + 3 n^{4}$
$=$ $4 n^{5} + 3 n^{4} + 38 n^{3} + 30 n^{2} - 20 n$

Suggest Corrections