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Step-4

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 \$ (3/a^2+7/b^2+6/c^2) - (-1/a^2+3/b^2+4/c^2) \$
2	Step	After eleminating the brackets we get	\$ 3/a^2 + 7/b^2 + 6/c^2 + 1/a^2 - 3/b^2 - 4/c^2\$
3	Step	Adding like terms together	\$ (3/a^2 + 1/a^2) + (7/b^2 - 3/b^2) + (6/c^2 - 4/c^2) \$
4	Step	Taking LCM as \$a^2,b^2,c^2\$	\$ (3 + 1)/a^2 + (7 - 3)/b^2 + (6 - 4)/c^2 \$
5	Step	After simplification we get	\$ 4/a^2 + 4/b^2 + 2/c^2 \$
6		Answer	B

Step

Type

Explanation

Answer

Problem

Simplify the expression
\$ (3/a^2+7/b^2+6/c^2) - (-1/a^2+3/b^2+4/c^2) \$

Step

After eleminating the brackets we get

\$ 3/a^2 + 7/b^2 + 6/c^2 + 1/a^2 - 3/b^2 - 4/c^2\$

Step

Adding like terms together

\$ (3/a^2 + 1/a^2) + (7/b^2 - 3/b^2) + (6/c^2 - 4/c^2) \$

Step

Taking LCM as \$a^2,b^2,c^2\$

\$ (3 + 1)/a^2 + (7 - 3)/b^2 + (6 - 4)/c^2 \$

Step

After simplification we get

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

Answer