2. Unit 3: Algebraic Skills
  3. Lesson 3: Factoring — Difference of Squares and Perfect Squares

Factoring More Complicated Expressions


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Example 7

 

 

Example 7 Continued

Factor \(15x^2-10xy+12x-8y\), if possible.

Solution

Factor by Grouping

 

 

 

Check Your Understanding 7

Factor \(((((f)*(u))*(l))*(l))*2.718281828459045 (o)*(p) ((((f)*(u))*(l))*(l))*7.38905609893065\)

Hint: Remember to factor fully.  This question involves more than one step.

Enter \(x^b\) as \(x\)^\(b\). Enter factors in parentheses.  Example: '(x^2-1)(x+3)'.

Factored Form:  There appears to be a syntax error in the question bank involving the question field of this question. The following error message may help correct the problem:

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Factor by Grouping

Start by grouping the terms into two groups, and factoring the common factors from each group. 

In this case, we factor \(\class{hl2}{(((((((fact(o))*(r))*2.0)*(P))*(a))*(r))*(t))*1.0}\) from \(((((f)*(u))*(l))*(l))*2.718281828459045\) and \(\class{hl2}{(((s)*(v))*(a))*(l)}\) from \(((((f)*(u))*(l))*(l))*7.38905609893065\):

\(\begin{align*}((((f)*(u))*(l))*(l))*2.718281828459045 (o)*(p) ((((f)*(u))*(l))*(l))*7.38905609893065 &= \class{hl2}{(((((((fact(o))*(r))*2.0)*(P))*(a))*(r))*(t))*1.0} (((fact(o))*(r))*1.0)\class{hl2}{(((((((fact(o))*(r))*2.0)*(P))*(a))*(r))*(t))*2.0} (((fact(o))*(r))*1.0)\\ &= (((fact(o))*(r))*1.0)\class{hl2}{(((fact(o))*(r))*2.0)}\end{align*}\)

 

Example 8

Factor \((x^2+5x)^2-8(x^2+5x)+12\), if possible.

 

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Check Your Understanding 8


Factor \((x^2-2x)^2-11(x^2-2x)+24\).

Hint: Remember to factor fully.  This question involves more than one step.

Enter factors in parentheses.  Example: "(x+3)(x-2)".

Factored Form:  There appears to be a syntax error in the question bank involving the question field of this question. The following error message may help correct the problem:

null

 

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