Math Problem Statement

Factorise fully 18e^3f-12e^3f

Solution

We are tasked with factorizing the expression 18e3f12e3f18e^3f - 12e^3f.

Step-by-step solution:

  1. Factor out the common term:
    The terms 18e3f18e^3f and 12e3f12e^3f both have the common factor e3fe^3f. So, we factor that out:

    18e3f12e3f=e3f(1812)18e^3f - 12e^3f = e^3f(18 - 12)

  2. Simplify inside the parentheses:
    Subtract the constants inside the parentheses:

    1812=618 - 12 = 6

  3. Final factored form:
    After simplifying, the expression becomes:

    e3f(6)e^3f(6)

    or simply:

    6e3f6e^3f

Thus, the fully factored form of 18e3f12e3f18e^3f - 12e^3f is 6e3f6e^3f.

Would you like more details or explanations on any part of the solution?

Relative Questions:

  1. How do you factor out the greatest common factor from more complex terms?
  2. Can factorization involve non-numeric coefficients like functions?
  3. What are some common factorization techniques?
  4. How does factorization help in solving algebraic equations?
  5. What is the difference between factoring and expanding an expression?

Tip: Always look for common factors first when starting to factorize an expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Greatest Common Factor (GCF)

Formulas

Factoring out the greatest common factor (GCF)

Theorems

Distributive Property

Suitable Grade Level

Grades 8-10