Question

find the value of 16m^2+36n^2+48mn,when m =1/2,n=1/3​

Answer 1

Answer:

16

Step-by-step explanation:

$16 {m}^{2} + 36 {n}^{2} + 48mn \\ = 16 \times { (\frac{1}{2}) }^{2} + 36 \times {( \frac{1}{3} )}^{2} + 48 \times \frac{1}{2} \times \frac{1}{3} \\ = 16 \times \frac{1}{4} + 36 \times \frac{1}{9} + 48 \times \frac{1}{6} \\ = 4 + 4 + 8 \\ = 16$