Rose Weston
05/13/2023 · Primary School
и) \( \frac{x^{2}-2 a b}{a x}-\frac{3 a x-2 b^{2}}{b x} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (x^2-2ab)/(ax)-(3ax-2b^2)/(bx) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(x^{2}-2ab\right)}{ax}-\frac{\left(3ax-2b^{2}\right)}{bx}\)
- step1: Remove the parentheses:
\(\frac{x^{2}-2ab}{ax}-\frac{3ax-2b^{2}}{bx}\)
- step2: Reduce fractions to a common denominator:
\(\frac{\left(x^{2}-2ab\right)b}{axb}-\frac{\left(3ax-2b^{2}\right)a}{bxa}\)
- step3: Calculate:
\(\frac{b\left(x^{2}-2ab\right)}{abx}-\frac{a\left(3ax-2b^{2}\right)}{abx}\)
- step4: Transform the expression:
\(\frac{b\left(x^{2}-2ab\right)-a\left(3ax-2b^{2}\right)}{abx}\)
- step5: Calculate:
\(\frac{bx^{2}-2ab^{2}-\left(3a^{2}x-2ab^{2}\right)}{abx}\)
- step6: Remove the parentheses:
\(\frac{bx^{2}-2ab^{2}-3a^{2}x+2ab^{2}}{abx}\)
- step7: Remove the opposites:
\(\frac{bx^{2}-3a^{2}x}{abx}\)
- step8: Factor the expression:
\(\frac{x\left(bx-3a^{2}\right)}{abx}\)
- step9: Reduce the fraction:
\(\frac{bx-3a^{2}}{ab}\)
Сокращенная форма выражения \( \frac{x^{2}-2ab}{ax}-\frac{3ax-2b^{2}}{bx} \) равна \( \frac{bx-3a^{2}}{ab} \).
Quick Answer
Сокращенная форма выражения \( \frac{x^{2}-2ab}{ax}-\frac{3ax-2b^{2}}{bx} \) равна \( \frac{bx-3a^{2}}{ab} \).
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