Question

ПОМОГИТЕ ПЖ ДАЮ 30 БАЛЛОВ!!!!!!!!!!!!!

Answer 1

$1)\ \ (a+b)^3-(a+b)^2=(a+b)^2\cdot (a+b-1)\\\\t^3\, (3-x)-t^2(x-3)=t^2\, (3-x)\cdot (t+x-3)\\\\\\2)\ \ 60-15x=238-58x\ \ ,\ \ 43x=178\ \ ,\ \ x=\dfrac{178}{43}\ \ ,\ \ x=4\dfrac{6}{43}\\\\(5-2x)(3x-1)(6+5x)=0\ \ ,\ \ x_1=2,5\ ,\ \ x_2=\dfrac{1}{3}\ ,\ \ x_2=-1,2\\\\\dfrac{x}{3}+\dfrac{x-1}{2}=4\ \Big|\cdot 6\ \ ,\ \ 2x+3(x-1)=24\ \ ,\ \ 2x+3x-3=24\ ,\\\\5x=27\ \ ,\ \ x=\dfrac{27}{5}\ \ ,\ \ x=5,4\frac{x}{y}$

$3)\ \ 1000m^6-27n^3=(10m^2-3n)(100m^4+30m^2n+9n^2)\\\\(2x^2-7y)(4x^4+14x^2y+4y^2)=(2x^2)^3-(7y)^3=8x^6-343\, y^3\\\\(3p+2)(9p^2-6p+4)=(3p)^3+2^3=27p^3+8$