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Factorise the following expressions fully: 1.1.1 \( \quad 3 y^{2}+y \)

Ask by Cox Jimenez. in South Africa
Feb 21,2025

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Answer

\( y(3y+1) \)

Solution

Factor the expression \( 3*y^2+y \). Factor the expression by following steps: - step0: Factor: \(3y^{2}+y\) - step1: Rewrite the expression: \(y\times 3y+y\) - step2: Factor the expression: \(y\left(3y+1\right)\) The fully factored form of the expression \(3y^{2}+y\) is \(y(3y+1)\).

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Bonus Knowledge

Let’s break it down! The expression \( 3y^2 + y \) can be factored by first identifying the greatest common factor (GCF), which in this case is \( y \). So, we can factor \( y \) out: \[ y(3y + 1) \] Now we have fully factorized the expression into \( y(3y + 1) \). Voila! And remember, practice makes perfect! Factorization becomes much more intuitive the more you work on it. Keep trying different problems, and soon you’ll be a pro!

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