Question
Factor out the GCF. \[ 9 x^{2} y^{3}-72 x^{4} y^{3} \] SUBMIT ANSWER
Ask by Hobbs Joseph. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The factored form is \(9x^{2}y^{3}(1-8x^{2})\).
Solution
Factor the expression \( 9x^2y^3-72x^4y^3 \).
Factor the expression by following steps:
- step0: Factor:
\(9x^{2}y^{3}-72x^{4}y^{3}\)
- step1: Rewrite the expression:
\(9x^{2}y^{3}-9x^{2}y^{3}\times 8x^{2}\)
- step2: Factor the expression:
\(9x^{2}y^{3}\left(1-8x^{2}\right)\)
The factored form of the expression \(9x^{2}y^{3}-72x^{4}y^{3}\) is \(9x^{2}y^{3}(1-8x^{2})\).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To factor out the greatest common factor (GCF) from the expression \( 9 x^{2} y^{3}-72 x^{4} y^{3} \), we first identify the GCF. The coefficients \( 9 \) and \( -72 \) have a GCF of \( 9 \). For the \( x \) terms, the lowest power is \( x^{2} \), and for the \( y \) terms, the common factor is \( y^{3} \). Thus, the GCF is \( 9 x^{2} y^{3} \). Now we can factor it out: \[ 9 x^{2} y^{3} (1 - 8 x^{2}) \] So the factored form is: \[ 9 x^{2} y^{3} (1 - 8 x^{2}) \]
