Powers and Roots – Simplify an expression with powers – Exercise 5656 Post category:Powers and Roots Post comments:0 Comments Exercise Simplify the expression: a4−b4a−b\frac{a^4-b^4}{a-b}a−ba4−b4 Final Answer Show final answer a4−b4a−b=(a+b)(a2+b2)\frac{a^4-b^4}{a-b}=(a+b)(a^2+b^2)a−ba4−b4=(a+b)(a2+b2) Solution Using Powers and Roots rules we get: a4−b4a−b=\frac{a^4-b^4}{a-b}=a−ba4−b4= =(a2−b2)(a2+b2)a−b==\frac{(a^2-b^2)(a^2+b^2)}{a-b}==a−b(a2−b2)(a2+b2)= =(a−b)(a+b)(a2+b2)a−b==\frac{(a-b)(a+b)(a^2+b^2)}{a-b}==a−b(a−b)(a+b)(a2+b2)= =(a+b)(a2+b2)=(a+b)(a^2+b^2)=(a+b)(a2+b2) Share with Friends Read more articles Previous PostPowers and Roots – factorization of polynomial – Exercise 5600 Next PostPowers and Roots – Simplify an expression with roots – Exercise 5671 You Might Also Like Powers and Roots – factorization of polynomial – Exercise 5600 June 25, 2019 Powers and Roots – factorization of polynomial – Exercise 5594 June 25, 2019 Powers and Roots – Simplify an expression with powers – Exercise 5564 June 24, 2019 Powers and Roots – Solving exponential equation – Exercise 5577 June 24, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5673 June 26, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5682 June 26, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
