Question

The product of$8x+3y$ and $3x^2$ is .

• A. $24x^3+9x^{2}y$
• B. $8x^3+9x^{2}y$
• C. $24x^2+9x^{2}y$
• D. $24x^3+9x^{3}y$

Answer 1

Answer: (A), (D)

The correct options are
A $24x^3+9x^{2}y$
D $24x^3+9x^{3}y$

$(8x+3y)\left(3x^2\right)$
Using the distributive property of multiplication,

$\Rightarrow$ $8x\left(3x^2\right)+3y\left(3x^2\right)$

$\Rightarrow$ $8\times 3x^3+3\times 3x^{2}y$

$\Rightarrow$$24x^3+9x^{2}y$

Thus, $(8x+3y)\left(3x^2\right)$ =$24x^3+9x^{2}y$