SaiBook.us Algebra

Home Course Section

Register Enroll

Step-2

Title: Simplify the expression

Grade: 8-a Lesson: S1-L7

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Simplify the expression \$ (1/a^2+5b-1/c^2) - (-2/a^2+b-1/c^2) \$
2	Step	After eleminating the brackets we get	\$ 1/a^2 + 5b - 1/c^2 + 2/a^2 - b + 1/c^2 \$
3	Step	Adding like terms together	\$ (1/a^2 + 2/a^2) + (5b - b) + (\cancel(- 1/c^2) + \cancel(1/c^2)) \$
4	Step	Adding like fractions	\$ (1+2)/a^2 + 4b + 0 \$
5	Step	After adding we get	\$ 3/a^2 + 4b \$
6		Answer	A

Step

Type

Explanation

Answer

Problem

Simplify the expression
\$ (1/a^2+5b-1/c^2) - (-2/a^2+b-1/c^2) \$

Step

After eleminating the brackets we get

\$ 1/a^2 + 5b - 1/c^2 + 2/a^2 - b + 1/c^2 \$

Step

Adding like terms together

\$ (1/a^2 + 2/a^2) + (5b - b) + (\cancel(- 1/c^2) + \cancel(1/c^2)) \$

Step

Adding like fractions

\$ (1+2)/a^2 + 4b + 0 \$

Step

After adding we get

\$ 3/a^2 + 4b \$

Answer