Answer: [tex]-2x^{3} + 6x[/tex]
Step-by-step explanation:
Find the Product
−2x ( [tex]x^{2}[/tex] − 3)
Apply the distributive property.
−2x ⋅ [tex]x^{2}[/tex] − 2x ⋅ −3
Multiply x by [tex]x^{2}[/tex] by adding the exponents.
−2 ( [tex]x^{2}[/tex]x ) − 2x ⋅ −3
Multiply [tex]x^{2}[/tex] by x.
Raise x to the power of 1.
−2 ( [tex]x^{2}[/tex] [tex]x^{1}[/tex] ) − 2x ⋅ −3
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex]- 2x^{2+1}[/tex] − 2x ⋅ −3
Add 2 and 1.
[tex]- 2x^{3}[/tex]− 2x ⋅ −3
Multiply −3 by −2.
[tex]-2x^{3}[/tex]+ 6x
