Lesson Example Discussion Quiz: Class Homework |
Step-4 |
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^2 + b^2 + 2ab \$ |
3 |
Step |
by substuting |
\$ (2x-5y)^2 + (x+3y)^2 + 2 ((2x-5y)(x+3y))\$ |
4 |
Formula: |
By using algebraic |
\$ (a + b)^2 = a^2 + b^2 + 2ab \$ |
5 |
Step |
by simplifying |
\$ (a - b)^2 = a^2 + b^2 - 2ab \$ |
6 |
Step |
by simplfying |
\$ 4x^2+25y^2-20xy + x^2+9y^2+6xy + 2 (2x^2+6xy-5xy-15y^2) \$ |
7 |
Step |
After simplification we get |
\$ 5x^2+34y^2-14xy+4x^2+12xy-10xy-30y^2 \$ |
8 |
Step |
After simplification we get |
\$ 9x^2+4y^2-12xy\$ |
9 |
Answer |
B |
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