1)=(sin^4α+sin²α·cos²α)+cos²α=sin²α(sin²α+cos²α)+cos²α=sin²α+cos²α=1.
2)=(sin²α-cos²α)(sin²α+cos²α)-sin²α+cos²α=sin²α-cos²α-sin²α+cos²α=0.
( ⇅ =1 )
(x-1)(x-6)(x+6)(4x-3)≥0
x-1=0
x1 = 1
x - 6 = 0
x2 = 6
x + 6 = 0
x3 = -6
4x - 3 = 0
x4 = 3/4
+ - + -
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-6 3/4 1 6 x
x∈(- ≈; - 6) (3/4; 1) (6; + ≈)
Г) (a+2b)^2-(3a-b)^2=(4a+b)(-2a+3b);
д) -9c^2+12cd^4-4d^4=-(2d^2-3c)^2;
a) (38^2-17^2)/(47^2-361)=1155/1848=5/8;
б) (106^2-121)/(122-64)=111115/58=191 целая 37/58;
в) 202^4-54^4+256*352=40804-2916+90112=128000;
г) 87^2-174*64+67&2=7569-11136+4480=922;
(x+3)^2+(2-x)(2+x)=0
(x+3)^2-4-x^2=0
6x+13=0
x=-13/6;
(3x-1)^2-8(x+1)^2=(x+2)(x-2)
(3x-1)^2-8(x+1)^2=x^2-4
-22x-7=-4
-22x=7-4
-22x=3
x=-3/22;
Y+x=0,5+8
x+y=8,5
x=y÷8,5
x=8,5y