F´(x)=2x-3
f(x)=∫(2x+3)dx=2x²/2-3x+c=x²-3x+c
x=2,y=6 : y=x²-3x+c, 6=4-6+c, c=8
y=x²-3x+8
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1. а) b² - 10b + 25
б) 16a²+ 8ac + c²
в) 36 x² - y²
г) p⁴ - q²
2. а) (x - 0.9)(x + 0.9)
б) (а - 3)²
3. = y² + 10y + 25 - (y² - 25) = y² + 10y + 25 - y² + 25 = 10y + 50
10 * (-4.7) + 50 = 50 - 47 = 3
4. a) 4( 25a² - b²) = 100a² - 4b²
б) c⁸ + 2c⁴d³ + d⁶
в) x² + 12x + 36 - (x² - 12x + 36) = x² + 12x + 36 - <span>x² + 12x - 36 = 24x</span>
Cos^4t - Sin^4t = (Cos^2t-Sin^2t)(Cos^2t + Sin^2t) = Cos^2 t -Sin^2 t = Cos 2t;
1 - 1/2 Sin^2 2t=1 - 1/2*4Sin^2 tCos^2 t = 1 - 2 Sin^2 tCos^2 t