3.2 Assignment (Module 3 Topic 2)

Last updated almost 2 years ago

4 questions

Last updated almost 2 years ago

4 questions

Question 1

Question 2

Question 3

Simplify the right or left side to show that the polynomials are equivalent

Question 4

Question 1

Question 2

Question 3

Question 4

Organize the steps to show how the right side of the equation can be simplified to match the left side
{g^6-h^6=(g^2-h^2)(g^2-gh+h^2)(g^2+gh+h^2)}

{g^6+g^5h+g^4h^2-g^5h-g^4h^2-g^3h^3+g^3h^3+g^2h^4+gh^5-g^2h^4-gh^5-h^6}

{(g^4-g^3h+g^2h^2-g^2h^2-gh^3-h^4)(g^2+gh+h^2)}

{(g^4-g^3h-gh^3-h^4)(g^2+gh+h^2)}

{g^6-h^6}

Organize the steps to show how the right side of the equation can be simplified to match the left side
{p^8-q^8=(p-q)(p+q)(p^2+q^2)(p^4+q^4)}

{(p^2-q^2)(p^2+q^2)(p^4+q^4)}

{p^8-q^8}

{(p^4+p^2q^2-p^2q^2-q^4)(p^4+q^4)}

{(p^4-q^4)(p^4+q^4)}