Given that 2m + 5n = 9 and mn = 1, find the value of 4m^2 + 25n^2
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Answered by
0
Step-by-step explanation:
value of 4m^2+25n^2
2m^2+5n^2
4m^2+25n^2
16m^2+625n^2
Answered by
1
Answer:
4m²+25n²=61
Step-by-step explanation:
4m²+25n²
(2m)²+(5n)²
(2m+5n)²-(2x2mx5n) [we know (a+b)²=a²+b²+2ab a²+b²=(a+b)²-2ab]
(9)²-(20mn) [from given 2m+5n=9]
81-(20(1)) [from given mn=1]
81-20
61
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