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Factorise the following: \( 6 a^{2} b+18 a b \)

Ask by Potter Guzman. in South Africa
Nov 11,2024

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\(6ab(a+3)\)

Solución

Factor the expression \( 6a^2b + 18ab \). Factor the expression by following steps: - step0: Factor: \(6a^{2}b+18ab\) - step1: Factor the expression: \(6\left(a^{2}b+3ab\right)\) - step2: Factor the expression: \(6ab\left(a+3\right)\) The factored form of \(6a^{2}b + 18ab\) is \(6ab(a+3)\).

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The Deep Dive

To factorise \( 6 a^{2} b + 18 a b \), we start by identifying the greatest common factor (GCF) of both terms. The GCF here is \( 6ab \). Now, we can factor \( 6ab \) out of each term: \[ 6 a^{2} b + 18 a b = 6ab(a + 3) \] So, the fully factorised form is \( 6ab(a + 3) \).

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