Question

factorise the expressions and divide them (a⁴-b⁴) divide by (a²+b²)
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Answer 1

(a⁴- b⁴) / (a²+b²)

[(a²)² - (b²)²] / (a²+b²)

(a² - b²) (a² + b²) / (a²+b²)

a² - b²

Answer 2

Answer:

a^4-b^4

=(a^2)^2-(b^2)^2

=(a^2+b^2)(a^2-b^2)

so,

(a^4-b^4)divide by (a^2+b^2)

=(a^2+b^2)(a^2-b^2)/(a^2+b^2)

=(a^2-b^2)

=(a+b)(a-b)