Expand (2a +36) (2a-3b

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

Answer:

A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring.A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring.A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring.A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring.sjlkajhdjhsjdahd;ahdishoihcuwes xd ad

Step-by-step explanation:

GarryVolchara [31]3 years ago

8 0

Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n
∑
k
=
0

n
C
k
⋅
(
a
n
−
k
b
k
)
(
a
+
b
)
n
=
∑
k
=
0
n
⁡
n
C
k
⋅
(
a
n
-
k
b
k
)
.
3
∑
k
=
0

3
!
(
3
−
k
)
!
k
!
⋅
(
2
a
)
3
−
k
⋅
(
−
3
b
)
k
∑
k
=
0
3
⁡
3
!
(
3
-
k
)
!
k
!
⋅
(
2
a
)
3
-
k
⋅
(
-
3
b
)
k
Expand the summation.
3
!
(
3
−
0
)
!
0
!
⋅
(
2
a
)
3
−
0
⋅
(
−
3
b
)
0
+
3
!
(
3
−
1
)
!
1
!
⋅
(
2
a
)
3
−
1
⋅
(
−
3
b
)
+
3
!
(
3
−
2
)
!
2
!
⋅
(
2
a
)
3
−
2
⋅
(
−
3
b
)
2
+
3
!
(
3
−
3
)
!
3
!
⋅
(
2
a
)
3
−
3
⋅
(
−
3
b
)
3
3
!
(
3
-
0
)
!
0
!
⋅
(
2
a
)
3
-
0
⋅
(
-
3
b
)
0
+
3
!
(
3
-
1
)
!
1
!
⋅
(
2
a
)
3
-
1
⋅
(
-
3
b
)
+
3
!
(
3
-
2
)
!
2
!
⋅
(
2
a
)
3
-
2
⋅
(
-
3
b
)
2
+
3
!
(
3
-
3
)
!
3
!
⋅
(
2
a
)
3
-
3
⋅
(
-
3
b
)
3
Simplify the exponents for each term of the expansion.
1
⋅
(
2
a
)
3
⋅
(
−
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
−
3
b
)
+
3
⋅
(
2
a
)
⋅
(
−
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
−
3
b
)
3
1
⋅
(
2
a
)
3
⋅
(
-
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
-
3
b
)
+
3
⋅
(
2
a
)
⋅
(
-
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
-
3
b
)
3
Simplify each term.
Tap for more steps...
8
a
3
−
36
a
2
b
+
54
a
b
2
−
27
b
3
8
a
3
-
36
a
2
b
+
54
a
b
2
-
27
b
3

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(2.5 x 10^9) + (5.3 x 10^8) = (2.5 + 5.3) x (10^9 x 10^8

makvit [3.9K]

Answer:

Read below.

Step-by-step explanation:

Wrong:

(2.5 x 10^9) + (5.3 x 10^8) =

(2.5 + 5.3) x (10^9 x 10^8) =

7.8 x 10^7=

7.8 x 10,000,000=

780,000,000

<u>Bold is edited by me</u>

Correct:

(2.5 x 10^9) + (5.3 x 10^8)=

(2.5 x 1,000,000,000)+(5.3 x 100,000,000)=

2,500,000,000+5,300,000,000=

7,800,000,000

The problem is that whoever wrote it swapped the numbers in the parentheses, added a pair of them together and multiplied the other pair. You are not supposed to take out the pairs and swap them if you'd like or the answer is incorrect. Second mistake is that $10^{9} * 10^{8}$ is not $10^{7}$ I do not know how and where you got that answer from.