9х^2-24ху+16^2
m^2-36
64b^2-25a^2
1) = ( 10a^5 )^2 - ( 1/2bc )^2 = 100a^10 - 1/4b^2c^2
2) ( 2y- 3 )( 3y + 1 ) + 2( y - 5 )( y + 5 ) = 2( 1 - 2y^2 ) + 6y
6y^2 + 2y - 9y - 3 + 2( y^2 - 25 ) = 2 - 4y^2 + 6y
6y^2 - 7y - 3 + 2y^2 - 50 = 2 - 4y^2 + 6y
8y^2 - 7y - 53 - 2 + 4y^2 - 6y = 0
12y^2 - 13y - 55 = 0
D = 169 + 2640 = 2809 = 53^2
y1 = ( 13 + 53 ) : 24 = 2,75
y2 = ( 13 - 53 ) : 24 = - 5/3 = - 1 2/3
3) ( 3x - 7 )^2 - 4x^2 = 0
9x^2 - 42x + 49 - 4x^2 = 0
5x^2 - 42x + 49 = 0
D = 1764 - 980 = 784 = 28^2
x1 = ( 42 + 28 ) : 10 = 7
x2 = ( 42 - 28 ) : 10 = 1,4
1.6^3=216
2. 2^(3x-5)=2^4
3x-5=4
3x=9
x=3
3. 3^(x^2-5x+2)=3^(-4)
x^2-5x+6=0
x1=2; x2=3
5ab-7b-5a²-7a=5 *(-13,69)-7*(-3,7)-5*13,69-7*3,7=-68,45+25,9-68,45-25,9=-136,9
44 = 2 * 2 * 11
110 = 2 * 5 * 11
154 = 2 * 7 * 11
НОД (44; 110; 154) = 2 * 11 = 22