MENTAL MATH
Give The Product Orally.
1. (a-1)³
2. (b-2)³
3. (2c+d)³
4. (e-2f)³
5. (3g-h)³
WRITTEN MATH
A. Write the expanded form of the following cubes.
11. (2ax+y)³
12. (3c²x-2y)³
13. (3d+8)³
14. (4e-7f)³
15. (2gh-j)³
Share
MENTAL MATH
Give The Product Orally.
1. (a-1)³
2. (b-2)³
3. (2c+d)³
4. (e-2f)³
5. (3g-h)³
WRITTEN MATH
A. Write the expanded form of the following cubes.
11. (2ax+y)³
12. (3c²x-2y)³
13. (3d+8)³
14. (4e-7f)³
15. (2gh-j)³
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
1. 7c⁶y⁴z⁷ · 10c⁴y⁵z³
2. 87r³t · —5rt³
3. -9y³z⁴ · 4y⁴z³ · -6yz
4. -6(5c + 4b)
5. -8yz²(-7yz³– 6 )
Remember:
✓ Multiplying negative and positive gives you negative as a result.
✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.
✓ Multiplying variables means adding the exponents.1. 7c⁶y⁴z⁷ · 10c⁴y⁵z³
2. 87r³t · —5rt³
3. -9y³z⁴ · 4y⁴z³ · -6yz
4. -6(5c + 4b)
5. -8yz²(-7yz³– 6 )
Remember:
✓ Multiplying negative and positive gives you negative as a result.
✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.
✓ Multiplying variables means adding the exponents.
✓Finding Products using the Laws of Exponent
1. 7c⁶y⁴1. 7c⁶y⁴z⁷ · 10c⁴y⁵z³
2. 87r³t · —5rt³
3. -9y³z⁴ · 4y⁴z³ · -6yz
4. -6(5c + 4b)
5. -8yz²(-7yz³– 6 )
Remember:
✓ Multiplying negative and positive gives you negative as a result.
✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.
✓ Multiplying variables means adding the exponents.⁷ · 10c⁴y⁵z³
\begin{gathered}7c⁶y⁴z⁷ ·10c⁴y⁵z³ \\ \large{\boxed{70c {}^{10} y {}^{9} z {}^{10} }}\end{gathered}
7c⁶y⁴z⁷⋅10c⁴y⁵z³
70c
10
y
9
z
10
2. 87r³t · —5rt³
\begin{gathered}87r³t · —5rt³ \\ \large { \boxed{ - 435r {}^{4} t {}^{4} }}\end{gathered}
87r³t⋅—5rt³
−435r
4
t
4
3. -9y³z⁴ · 4y⁴z³ · -6yz
\begin{gathered}-9y³z⁴ · 4y⁴z³ · -6yz \\ - 36 y { }^{7}z {}^{7} · - 6yz \\ \large{ \boxed{216y {}^{8} z {}^{8} }}\end{gathered}
−9y³z⁴⋅4y⁴z³⋅−6yz
−36y
7
z
7
⋅−6yz
216y
8
z
8
4. -6(5c + 4b)
\begin{gathered} - 6(5c + 4b) \\ - 6(5c) - 6(4b) \\ \large{ \boxed{ - 30c - 24b}}\end{gathered}
−6(5c+4b)
−6(5c)−6(4b)
−30c−24b
5. -8yz²(-7yz³– 6 )
\begin{gathered}-8yz²(-7yz³– 6 ) \\ - 8yz {}^{2} ( - 7yz {}^{3} ) - ( - 8yz {}^{2} )( 6) \\ \large {\boxed{56y {}^{2} z {}^{5} + 48yz {}^{2} }}\end{gathered}
−8yz²(−7yz³–6)
−8yz
2
(−7yz
3
)−(−8yz
2
)(6)
56y
2
z
5
+48yz
2
Remember:
✓ Multiplying negative and positive gives
ered}7c⁶y⁴z⁷ ·10c⁴y⁵z³ \\ \large{\boxed{70c {}^{10} y {}^{9} z {}^{10} }}\end{gathered}
7c⁶y⁴z⁷⋅10c⁴y⁵z³
70c
10
y
9
z
10
2. 87r³t · —5rt³
\begin{gathered}87r³t · —5rt³ \\ \large { \boxed{ - 435r {}^{4} t {}^{4} }}\end{gathered}
87r³t⋅—5rt³
−435r
4
t
4
3. -9y³z⁴ · 4y⁴z³ · -6yz
\begin{gathered}-9y³z⁴ · 4y⁴z³ · -6yz \\ - 36 y { }^{7}z {}^{7} · - 6yz \\ \large{ \boxed{216y {}^{8} z {}^{8} }}\end{gathered}
−9y³z⁴⋅4y⁴z³⋅−6yz
−36y
7
z
7
⋅−6yz
216y
8
z
8
4. -6(5c + 4b)
\begin{gathered} - 6(5c + 4b) \\ - 6(5c) - 6(4b) \\ \large{ \boxed{ - 30c - 24b}}\end{gathered}
−6(5c+4b)
−6(5c)−6(4b)
−30c−24b
5. -8yz²(-7yz³– 6 )
\begin{gathered}-8yz²(-7yz³– 6 ) \\ - 8yz {}^{2} ( - 7yz {}^{3} ) - ( - 8yz {}^{2} )( 6) \\ \large {\boxed{56y {}^{2} z {}^{5} + 48yz {}^{2} }}\end{gathered}
−8yz²(−7yz³–6)
−8yz
2
(−7yz
3
)−(−8yz
2
)(6)
56y
2
z
5
+48yz
2
Remember:
✓ Multiplying negative and positive gives you negative as a result.
✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.
✓ Multiplying variables means adding the exponents.