Answer:
c. [tex]2a^3x^4-3a^3x^3+a^4x^2[/tex]
d. [tex]63x^5y^3-30x^2y^4-7x^3y^2[/tex]
Step-by-step explanation:
For this exercise you need to remember the following:
1. The multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
2. The Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
3. The Distributive property:
[tex]a(b\±c)=ab\±ac[/tex]
Knowing that, you can solve the multiplication of the polynomials:
c. [tex](-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2[/tex]
d. [tex](6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2[/tex]
