Respuesta :
Answer:
[tex]-30a^5b+12a^4b^3+16a^3b^2-4a^2b^4-2ab^3[/tex] is the product of [tex](-6a^3b+2ab^2)(5a^2-2ab^2-b)[/tex]
Step-by-step explanation:
Using the exponent rule:
[tex]x^a \cdot x^b = x^{a+b}[/tex]
To find the product of:
[tex](-6a^3b+2ab^2)(5a^2-2ab^2-b)[/tex]
[tex]-6a^3b(5a^2-2ab^2-b)+2ab^2(5a^2-2ab^2-b)[/tex]
Using distributive property and exponent rules: [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
⇒[tex]-30a^5b+12a^4b^3+6a^3b^2+10a^3b^2-4a^2b^4-2ab^3[/tex]
Combine like terms;
[tex]-30a^5b+12a^4b^3+16a^3b^2-4a^2b^4-2ab^3[/tex]
