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Chapter 8: Q4. (page 492)

Factor each monomial completely.鈭�13xy3

Short Answer

Expert verified

The complete factorization of the monomial is鈭�1脳13脳x脳y脳y脳y.

Step by step solution

01

Step 1. State the concept for factorization of algebraic expressions.

  1. The product of two factors with like signs is positive, and the product of two factors with unlike signs is negative.
  2. If x is a variable and m, n are positive integers, thenxm+n=(xm脳xn)
02

Step 2. State the methods to factorize.

Factoring an algebraic expression means writing the expression as a product of factors.

To verify whether the factors are correct or not, multiply them and check if the result is the original algebraic expression.

Algebraic expressions can be factorized using the common factor method, regrouping like terms together, and also by using algebraic identities.

03

Step 3. Expand the expression.

Solve the expression by expanding it.

鈭�13xy3=鈭�1脳13脳xy3=鈭�1脳13脳x脳y脳y脳y

Therefore, the result of the factorization is鈭�1脳13脳x脳y脳y脳y.

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