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tia_tia [17]
3 years ago
15

If a^2+b^2= 4 and ab = 5, what is the value of (a+b)^2? A. 10 B. 12 C. 14 D. 16

Mathematics
2 answers:
Effectus [21]3 years ago
8 0

Answer:

C. 14.

Step-by-step explanation:

We use the identity:-

a^2 + b^2 = (a + b)^2 - 2ab

So 4 = (a + b)^2 - 2(5)

(a + b)^2 =  4 + 2(5)

= 14.

wlad13 [49]3 years ago
5 0

Answer:

14

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4  and ab= 5

4 + 2(5)

4+10

14

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