Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Distributive Property |
Grade: 6-b Lesson: S2-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solve by using distributive property \$2"x"^2 ("x"^3 + "y"^3)\$. |
|
2 |
Step |
The given distributive property is |
\$2"x"^2("x"^3 + "y"^3)\$ |
3 |
Hint |
To solve this expression using the distributive property, you need to distribute \$2"x"^2\$ to both terms inside the parentheses: |
\$2"x"^2 times "x"^3 + 2"x"^2 times "y"^3\$ |
4 |
Step |
Now, let’s simplify each term |
\$2"x"^2 times "x"^3 + 2"x"^2 times "y"^3\$ |
5 |
Formula: |
The exponents |
\$"a"^"m" times "a"^"n" = "a"^("m" + "n")\$ |
6 |
Step |
Simplify the expression using formula |
\$2"x"^(2 + 3) + 2("x"^2)("y"^3)\$ |
7 |
Step |
Make it simplify |
\$2"x"^5 + 2"x"^2"y"^(3)\$ |
8 |
Step |
So, the distributive property of \$2"x"^2 ("x"^3 + "y"^3)\$ is \$2"x"^5 + 2("x"^2)("y"^3)\$. |
|
9 |
Choice.A |
Option A is inaccurate, simplifying \$"x"^5 + 2("x"^2)("y"^3)\$ incorrectly and failing to distribute \$2"x"^2\$ to \$"x"^3\$ properly |
\$"x"^5 + 2("x"^2)("y"^3)\$ |
10 |
Choice.B |
Incorrect, the constant term should be \$2("x"^2)("y"^3)\$, not just \$2("y"^3)\$ |
\$2"x"^5 + 2("y"^3)\$ |
11 |
Choice.C |
Correct. This matches the result we derived by properly distributing \$2("x"^2)\$ to both terms inside the parentheses |
\$2"x"^5 + 2("x"^2)("y"^3)\$ |
12 |
Choice.D |
Wrong, the constant term should be \$2("x"^2)("y"^3)\$, not just \$"y"^3\$ |
\$"x"^5 + ("y"^3)\$ |
13 |
Answer |
Option |
C |
14 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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