Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Multiplication of Polynomials |
Grade: 8-a Lesson: S1-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Multiplying polynomials expression: (2x + 5y)(6x +10y - 2y). |
|
2 |
Step |
The polynomial expression is |
(2x + 5y) (6x +10y - 2y) |
3 |
Step |
First, distribute each term of the first polynomial by each term of the second polynomial |
\$2x(6x + 10y − 2y) + 5y(6x + 10y − 2y)\$ |
4 |
Step |
Make it simplify the expression |
\$12x^2 + 20xy - 4xy + 30xy + 50y^2 - 10y^2\$ |
5 |
Step |
Add and subtract common variables \$x^2, xy, y^2\$ |
\$12x^2 + 46xy + 40y^2\$ |
6 |
Step |
So, the product of the polynomials (2x + 5y)and (6x + 10y − 2y) is \$12x^2 + 46xy + 40y^2\$. |
|
7 |
Choice.A |
The expression is incorrect; it should feature a positive sign preceding 46xy, as in the accurate version |
\$12x^2 - 46xy + 40y^2\$ |
8 |
Choice.B |
The expression is inaccurate due to a negative sign before \$40y^2\$; it should have a positive sign for the \$40y^2\$ term |
\$12x^2 + 46xy - 40y^2\$ |
9 |
Choice.C |
Option C is incorrect due to opposing signs in the second and third terms compared to the correct answer |
\$12x^2 - 46xy - 40y^2\$ |
10 |
Choice.D |
Accurate: The calculation has been accurately performed |
\$12x^2 + 46xy + 40y^2\$ |
11 |
Answer |
Option |
D |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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