Question
Factorise the following algebraic expression: \[ 14 a^{2} b^{2}+7 a b \]
Ask by Howell Vega. in South Africa
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The factored form of the expression is \( 7ab(2ab + 1) \).
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To factor the expression \( 14 a^{2} b^{2} + 7 a b \), you can first identify the greatest common factor (GCF) of the two terms. The GCF is \( 7ab \). Now, factor out \( 7ab \) from each term: \[ 14 a^{2} b^{2} + 7 a b = 7ab(2ab + 1) \] So, the factored form of the expression is \( 7ab(2ab + 1) \). Keep practicing and remember that finding the GCF is a great first step in factorization!