Lewis Collins
01/01/2023 · Elementary School
Find the product: \( (x-5 y)(6 x-3 y) \) A. \( 6 x^{2}-33 x y+15 y^{2} \) B. \( 10 x^{2}-14 x y+4 y^{2} \) C. \( 6 x^{2}+15 y^{2} \) D. \( 6 x^{2}+33 x y-4 y^{2} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (x-5y)(6x-3y) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(x-5y\right)\left(6x-3y\right)\)
- step1: Apply the distributive property:
\(x\times 6x-x\times 3y-5y\times 6x-\left(-5y\times 3y\right)\)
- step2: Multiply the terms:
\(6x^{2}-3xy-30xy-\left(-15y^{2}\right)\)
- step3: Remove the parentheses:
\(6x^{2}-3xy-30xy+15y^{2}\)
- step4: Subtract the terms:
\(6x^{2}-33xy+15y^{2}\)
The product of \( (x-5y)(6x-3y) \) is \( 6x^{2}-33xy+15y^{2} \).
Therefore, the correct answer is A. \( 6x^{2}-33xy+15y^{2} \).
Quick Answer
The correct answer is A. \( 6x^{2}-33xy+15y^{2} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit