Answer:
- [tex]-9y^4x^4-11y^3x^4+7y^3[/tex]
- [tex]9x^3+33x^2-50[/tex]
Step-by-step explanation:
1. Length = 3x^2 +6x-10
Width = 3x+5
Area = ?
Area = Length×Breadth
[tex]\left(3x+5\right)\left(3x^2+6x-10\right)\\\\\mathrm{Distribute\:parentheses}\\\\=3x\times\:3x^2+3x\times\:6x+3x\left(-10\right)+5\times\:3x^2+5\times\:6x+5\left(-10\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=3\times\:3x^2x+3\times\:6xx-3\times\:10x+5\times\:3x^2+5\times\:6x-5\times\:10\\\\Simplify\\\\=9x^3+33x^2-50[/tex]
2.
[tex]\left(y^3-7x^4y^4\right)+\left(-10x^4y^3+6y^3+4x^4y^4\right)-\left(x^4y^3+6x^4y^4\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=y^3-7x^4y^4-10x^4y^3+6y^3+4x^4y^4-\left(x^4y^3+6x^4y^4\right)\\\\=y^3-7y^4x^4-10y^3x^4+6y^3+4y^4x^4-\left(y^3x^4+6y^4x^4\right)\\\\=y^3-7x^4y^4-10x^4y^3+6y^3+4x^4y^4-x^4y^3-6x^4y^4\\\\Simplify\\\\=-9y^4x^4-11y^3x^4+7y^3 \\[/tex]
