Question
Multiply:
$\left(2 x^2-1\right) \text { by }\left(4 x^3+5 x^2\right)$
$\left(2 x^2-1\right) \text { by }\left(4 x^3+5 x^2\right)$
✓
Answer
To multiply, we will use distributive law as follows:
$\left(2 x^2-1\right)\left(4 x^3+5 x^2\right)$
$=2 x^2\left(4 x^3+5 x^2\right)-1\left(4 x^3+5 x^2\right)$
$=8 x^5+10 x^4-4 x^3-5 x^2$
Thus, the answer is $8 x^5+10 x^4-4 x^3-5 x^2$.
$\left(2 x^2-1\right)\left(4 x^3+5 x^2\right)$
$=2 x^2\left(4 x^3+5 x^2\right)-1\left(4 x^3+5 x^2\right)$
$=8 x^5+10 x^4-4 x^3-5 x^2$
Thus, the answer is $8 x^5+10 x^4-4 x^3-5 x^2$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solve:
$144 a^2-289 b^2$
→$144 a^2-289 b^2$
Factorize of the following expressions:
6xy + 6 - 9y - 4x
6xy + 6 - 9y - 4x
Evaluate the following:$\frac{-4}{13}-\frac{-5}{26}$
→What is the sum of all interior angles of a regular:
Polygon of 12 sides?
Polygon of 12 sides?
Expand: $\Big(\frac{\text{x}}{\text{y}}-\frac{\text{y}}{\text{x}}\Big)^2$
→The area of a square playground is 256.6404 square metres. Find the length of one side of the playground.
Test the divisibility of the following numbers by 11:1057982
Find the square root of the following by long division method:152547201
Which of the two rational numbers is greater in the given pair?
$\frac{-2}{9}\ \text{or}\ 0$
→$\frac{-2}{9}\ \text{or}\ 0$
The following figures are parallelograms. Find the degree values of the unknowns x, y, z.