verify that a ÷ (b + c) = (a ÷ b) + (a ÷ c) a = -10,b = 5,c = 2
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Answer:
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Given A=[
2
1
]
B=[
5
8
3
7
4
6
]
C=[
−1
1
2
0
1
2
]
1) B+C=[
5
8
3
7
4
6
]+[
−1
1
2
0
1
2
]
∴B+C=[
4
9
5
7
5
8
]
Now, A(B+C)=[
2
1
][
4
9
5
7
5
8
]
∴A(B+C)=[
8+9
10+7
10+8
]
∴A(B+C)=[
17
17
18
] (1)
2) AB=[
2
1
][
5
8
3
7
4
6
]
∴AB=[
10+8
6+7
8+6
]
∴AB=[
18
13
14
]
Similarly, AC=[
2
1
][
−1
1
2
0
1
2
]
∴AC=[
−2+1
4+0
2+2
]
∴AC=[
−1
4
4
]
∴AB+AC=[
18
13
14
]+[
−1
4
4
]
∴AB+AC=[
17
17
18
] (2)
From (1) and (2),
A(B+C)=AB+AC
Step-by-step explanation:
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Answered by
4
Answer:
-13
Step-by-step explanation:
-10 ÷ ( 5 + 2 ) = ( -10 + 5 ) ( -10 + 2 )
-10 + 7 = -5 -8
-13 = -13
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