33+8x=-5x+72
8x+5x=72-33
13x=39 |:13
x=3
Ответ: x=3
4*4^x+7*2^x-2=0
2^x=a
4a²+7a-2=0
D=49+32=81
a1=(-7-9)/8=-2⇒2^x=-2 нет решения
a2=(-7+9)/8=1/4⇒2^x=1/4⇒x=-2
Пфффф...........................
1)
1. (3/5)*a³ⁿ⁺¹*b²+(2/3)*aⁿ⁻¹*b³)²=
=(9/25)*a⁶ⁿ⁺²*b₄+2*(3/5)a³ⁿ⁺¹*b²*(2/3)aⁿ⁻¹*b³+(4/9)*a²ⁿ⁻²*b⁶=
=(9/25)*a⁶ⁿ⁺²b⁴+(4/5)*a⁴ⁿ*b⁵+(4/9)*a²ⁿ⁻²*b⁶.
2. (4/45)*a²ⁿ⁻²b⁵*(9*a²ⁿ⁺²+5b)=(4/5)*a⁴ⁿ*b⁵+(4/9)*a²ⁿ⁻²*b⁶.
3. (9/25)*a⁶ⁿ⁺²*b⁴+(4/5)*a⁴ⁿ*b⁵+(4/9)*a²ⁿ⁻²*b⁶-(4/5)*a⁴*b⁵-(4/9)*a²ⁿ⁻²*b⁶+ +(16/25)*a⁶ⁿ⁺²*b⁴==(9/25)*a⁶ⁿ⁺²+(4/5)*a⁴ⁿ*b⁵-(4/5)*a⁴ⁿb⁵+(16/25)*a⁶ⁿ⁺²*b⁴ a⁶ⁿ⁺²*b⁴≡a⁶ⁿ⁺²*b⁴.
2)
1. (5/6)*x²ⁿ⁻¹*yⁿ-(3/5)*xⁿ⁺¹*y²)²=(25/36)*x⁴ⁿ⁻²*y²ⁿ-2*(5/6)*x²ⁿ⁻¹*yⁿ*(3/5)*xⁿ⁺¹*y²+
+(9/25)x²ⁿ⁺²*y⁴=(25/36)*x⁴ⁿ⁻²*y²ⁿ-x³ⁿ*yⁿ⁺²+(9/25)*x²ⁿ⁺²*y⁴.
2. (1/36)*x³ⁿ*yⁿ⁺²*(25xⁿ⁻²*yⁿ⁻²-36)=(25/36)*x⁴ⁿ⁻²*y²ⁿ⁺²-x³ⁿ*yⁿ⁺².
(25/36)x⁴ⁿ⁻²*y²ⁿ-x³ⁿ*yⁿ⁺²+(9/25)*x²ⁿ⁺²*y⁴-(26/36)*x⁴ⁿ⁻²*y²ⁿ⁺²+x³ⁿ*yⁿ⁺².
(9/25)*x²ⁿ⁺²*y⁴≡(9/25)*x²ⁿ⁺²*y⁴.
1) у*у*у*у*у
2) 0.4*0.4*0.4
3) (-3t)*(-3t)*(-3t)*(-3t)*(-3t)
4) (-7/9b)*(-7/9b)
5) (a+2)*(a+2)*(a+2)
6) (2t+1)*(2t+1)