Question

Show that (a+b)²-(a-b) ²=4ab and using this identity find the value of (75)²-(25)²​

Answer 1

Answer:

7500

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(a-b)²=a²+b²-2ab

(a+b)²-(a-b) ²=a²+b²+2ab-(a²+b²-2ab)

a²+b²+2ab-a²-b²+2ab = 4ab

75²-25²

= 4*75*25

= 7500

Answer 2

Answer:

a squre - b square = (a+b) (a-b) this is formula

Step-by-step explanation:

So...

75 square - 25 square =(75+25)(75-25)=100*50=500