a^2 - b^2 = (a - b)(a + b)
(x+a)^2-(y+b)^2=(x+y+1)*(x-y-5)
(x+a)^2-(y+b)^2 = (x + a + y + b)*(x + a - y - b) = (x+y + a+b)(x-y+a-b)
сравнивая с (x+y+1)*(x-y-5)
a+b= 1
a-b = -5
2a=-4
a=-2
b=3
a+2b = -2+2*3 = -2 + 6 = 4
<span>Применяем формулу производная произведения
(u·v)`=u`·v+u·v`
y`=(x² - 15)`· sin3x+(x²-15)·(sin3x)`=2x·sin3x+(x²-15)·cos3x·(3x)`=2x·sin3x+3(x²-15)·cos3x
</span>
(3b+4a^3)^2=3^2•b^2+2•3b•4a^3+4^2•(a^3)^2=
=9b^2+24ba^3+16a^6.