How to Simplify an Algebraic Equation in One Step?

  • Thread starter Thread starter phospho
  • Start date Start date
  • Tags Tags
    Algebra
Click For Summary
SUMMARY

The discussion focuses on simplifying the algebraic equation 2a(q-t) + at(q-t)(q+t) = 0 into a(q-t)(2+t(q+t)) = 0. The key step involves factoring out a(q-t) from both terms of the equation. This technique is essential for reducing complex expressions efficiently in algebra.

PREREQUISITES
  • Understanding of algebraic factoring techniques
  • Familiarity with the distributive property
  • Knowledge of polynomial expressions
  • Basic skills in solving equations
NEXT STEPS
  • Study advanced factoring techniques in algebra
  • Learn about polynomial long division
  • Explore the use of the distributive property in simplifying expressions
  • Practice solving equations involving multiple variables
USEFUL FOR

Students, educators, and anyone looking to enhance their algebraic manipulation skills will benefit from this discussion.

phospho
Messages
250
Reaction score
0
vq154z.png


Could anyone explain how they made the jump from the highlighted parts? i.e how do you go from

2a(q-t) + at(q-t)(q+t) = 0 to
a(q-t)(2+t(q+t)) = 0

in one step
 
Physics news on Phys.org
If you pull out a(q-t) from both terms of the summation in the first equation, what do you have left?
 
thanks
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
7
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
10
Views
3K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 21 ·
Replies
21
Views
2K