Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Simplify the expression |
Grade: 9-a Lesson: S2-L3 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify the expression: |
|
2 |
Formula: |
By using algebraic |
\$ (a - b)^2 = (a + b)^2 - 4ab \$ |
3 |
Step |
by substuting |
\$ (2x+4y + 6x+3y)^2 - 4 ((2x+4y)(6x+3y))\$ |
4 |
Step |
After simplification we get |
\$ (8x+7y)^2 - 4 (12x^2+6xy+24xy+12y^2)\$ |
5 |
Formula: |
By using algebraic |
\$ (a + b)^2 = a^2 + b^2 + 2ab \$ |
6 |
Step |
by substuting |
\$ 64x^2+49y^2+112xy - 4 (12x^2+30xy+12y^2) \$ |
7 |
Step |
After multiplication we get |
\$ 64x^2+49y^2+112xy-48x^2-120xy-48y^2 \$ |
8 |
Step |
After simplification we get |
\$ 16x^2+y^2-8xy \$ |
9 |
Answer |
D |
|
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