Math, asked by khannaankit9449, 1 year ago

If a + b = 25 and a2 + b2 = 225, then find ab.

Answers

Answered by TPS
135
(a+b)^2 = 25^2

a^2 + b^2 + 2ab = 625

225 + 2ab = 625

2ab = 625 - 225 = 400

ab = 400/2 = 200
Answered by DelcieRiveria
86

Answer:

The value of ab is 200.

Step-by-step explanation:

Given information:a + b = 25 and a² + b² = 225.

Using algebraic property

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

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

(25)^2=(225)+2ab

625-225=2ab

400=2ab

Divide both side by 2.

200=ab

Therefore the value of ab is 200.

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