Question

Multiply the polynomials. (7k−3)(7k2+3k−1)

Answer 1

Given:

The given expression is, (7k-3)(7k²+3k-1).

The objective is to multiply the polynomials.

Step-by-step explanation:

The polynomials can be multiplied as,

`\begin{gathered} (7k-3)(7k^2+3k-1)=(7k)(7k^2)+(7k)(3k)+(7k)(-1)+(-3)(7k^2) \\ +(-3)(3k)+\mleft(-3\mright)\mleft(-1\mright) \end{gathered}`

On further solving the above equation,

`\begin{gathered} =49k^3+21k^2-7k-21k^2-9k+3 \\ =49k^3-16k+3 \end{gathered}`

Hence, the product of the polynomials is 49k³-16k+3.