Question

if (2a+3b)= 14 and (2a-3b)=2, Find the value of ab using the formula a2-b2= (a+b)(a-b)​

Answer 1

Answer:

$(2a - 3b)^{2} = (2a + 3b)^{2} - 4(2a)(3b) \\ {2}^{2} = {14}^{2} - 24ab \\ 4 = 196 - 24ab \\ 24ab = 196 - 4 \\ 24ab = 192 \\ ab \: = \frac{192}{24} \\ ab = 8$