Answer: [tex]=14a^3-21a^2+42a-35[/tex]
Step-by-step explanation:
You can multiply the polynomials by applying the Distributive property.
It is important to remember the Product of powers property, which states that:
[tex](b^a)(b^c)=b^{(a+c)[/tex]
Where b is the base and a and c are exponents.
It is also important to remember the multiplication of signs:
[tex](-)(-)=+\\(+)(+)=+\\(+)(-)=-[/tex]
Then:
Each term inside of the first parentheses must multiply each term inside of the second parentheses:
[tex](7a-7)(2a^2-a+5)=(7a)(2a^2)+(7a)(-a)+(7a)(5)+(-7)(2a^2)+(-7)(-a)+(-7)(5)\\\\=14a^3-7a^2+35a-14a^2+7a-35[/tex]
Finally, add like terms:
[tex]=14a^3-21a^2+42a-35[/tex]
