Question

Factorise : a^3b - ab^3​

Answer 1

♛ ⒶⓃⓈⓌⒺⓇ ♛

Pull out like factors :

a³b - ab³ = ab × (a² - b²)

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) × (A-B)

Proof : (A+B) × (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : a² is the square of a¹

Check : b² is the square of b¹

Factorization is : (a + b) × (a - b)

❥ Final result :

⇒ ab (a + b) (a - b)

Answer 2

Answer:

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