Question

if a+b=25 and a^2+b^2=225 find ab

Answer 1

Answer:

200

Step-by-step explanation:

Given,

a+b=25 and $a^{2} + b^{2}$ = 225

Using the formula,

$(a+b)^{2}$ = $a^{2} + b^{2} + 2ab$

=> $a^{2} + b^{2} + 2ab$ = $25^{2}$

Replacing, $a^{2} + b^{2} = 225</p><p>=> 225 + 2ab = [tex]25^{2}$ = 625

=> 2ab = 625-225

=> 2ab = 400

=> ab = 200