Knowing m n 9 and mn 14, find the square of 3m and the square of 3n

m=9-nmn=(9-n)n=14

So: 9n-n 2=14, sorted out: n 2-9n+14=0n-2)(n-7)=0, then n=2, or n=7 pushes out: when n=2, m=7, when n=7, m=2.

When m = 7, 3m 2 + 3n = 3 (m 2 + n 2) = 3 x (7 2 + 2 2) = 159

When m=2, 3m2+3n=159

Because m+n=9, mn=14

So m + n = 81-2mn = 81-28 = 53

So the square of 3m + the square of 3n = 3 (m + n) = 53 * 3 = 159

m²+n²=81-2mn=81-28=53

So the square of 3m + the square of 3n = 3 (m + n) = 53 * 3 = 159

3m squared + 3n squared = 3 (m squared + n squared) = 3 (m squared + n squared + 2mn-2mn) = 3

m+2n) square Qing Buju - (3m-n) square Yubi.

m+2n+3m-n)(m+2n-3m+n)(4m+n)(-2m+3n)

90 (-10) drawbacks.

Analytic repentance: m 2-3m=1n 2-3n=1, then m 2-3m=n 2-3n solution gives m=n or m=3-n, m=n, m n+n, m n=3-n, m n+n, m=(m 2+n 2) nm, and m=3-n is substituted for m=- 2(n 2-3n)+9] (n 2-3n) because n 2-3n=1, so m n+n m= -11

m+2n) -3m-n)

m+2n)+(3m-n)][m+2n)-(3m-n)](4m+n)(-2m+3n)

4m+n)(2m-3n)

90x10 rent rushing, 100% correct, also attached process.

m+2n) square old drainer - (3m-n) flat potato square.

m+2n+3m-n)(m+2n-3m+n)(4m+n)(-2m+3n)

90 (Soliang-10).

Solution: Obtained by m+n=9 mn=14: (m-n) squared = 25 let the square of 3m + the square of 2n = x

x = 2 (m + n) squared - 4mn + m squared. 1

x=3(m+n) squared - 6mn-n squared. 2

From the formula 1 + 2, we get: 2x = 5 (m + n) squared - 10nm + m squared - n squared = 5 (m + n) squared - 8 nm + (m-n) squared.

2x=5*9*9-8*14+25=218

x=109

m = 2 n = 7 or m = 7 n = 2

From m = 7 n = 2 to get the square of 3m + the square of 2n = 25

From m=2 n=7 we get the square of 3m + the square of 2n = 20