Answer:
2x^3+12x^2+10x-24
Step-by-step explanation:
The product of these expressions 'means' to multiply them. (x+3)(2x^2+6x-8)
Each term in the 2nd bracket must be multiplied by each term in the 1st.
This can be achieved as follows.
x(2x^2+6x^2-8x)+3(x^2+6x-8)
=[2x^3+6x^2-8x]+[6x^2+18x-24]
=2x^3+6x^2-8x+6x^2+18x-24
collect 'like terms'
=2x^3+12x^2+10x-24 is in standard form
Writing an answer in standard form : Start with the term that has the highest power of the variable, in this case x^3
followed by terms with decreasing powers until the last term , usually a constant.
hope that helps!
