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Anni [7]
3 years ago
6

If a+b=2 find the value of a3+b3+6ab

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

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12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3 ​
Semmy [17]

Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

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(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

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(38/3)/(7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

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8 0
3 years ago
Let F be the function given by f(x)= 2xe^x. Determine the interval(s) on which the graph is concave down.
Vika [28.1K]
Hello,

y=2xe^x
y'=2(e^x+xe^x)=2(x+1)e^x
y''=2(e^x+(x+1)e^x)=2(x+2)e^x

x     |-infinite   -2  0    +infinite
e^x | ++++++++++++++++++
x+2 |------------0 +++++++++++
y''    | -----------0 +++++++++++

y''<0 if x<-2
<span>The interval on which the graph is concave down is (-infinite -2[</span>

7 0
3 years ago
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