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If ab = 8 and a^+b^2=16, then what is the value of (a+b)^2?

2 Answers

2 votes

Answer:

32

Explanation:

(a + b)² = a² + 2ab + b²

= (a² + b²) + 2(ab)

= 16 + 2(8)

= 32

User Krx
by
4.9k points
4 votes

Answer:

32

Explanation:

(a+b)^2

This is the product of squares and equals

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

Rearranging the terms

a^2 + b^2 + 2*ab

We know a^2+b^2 = 16 and ab =9

16 +2(8)

16+16

32

User Smrita
by
4.2k points