a: \(VP=a^3+b^3+c^3-3bac\)

\(=\left(a+b\right)^3+c^3-3ab\left(a+b\right)-3abc\)

\(=\left(a+b+c\right)\left[\left(a+b\right)^2-c\left(a+b\right)+c^2\right]-3ab\left(a+b+c\right)\)

\(=\left(a+b+c\right)\left(a^2+2ab+b^2-ac-bc+c^2-3ab\right)\)

\(=\left(a+b+c\right)\left(a^2+b^2+c^2-ab-bc-ac\right)=VT\)

b: \(VT=\left(3a+2b-1\right)\left(a+5\right)-2b\left(a-2\right)\)

\(=3a^2+15a+2ab+10b-a-5-2ab+4b\)

\(=3a^2+14a+14b-5\)

\(VP=\left(3a+5\right)\left(a+3\right)+2\left(7b-10\right)\)

\(=3a^2+9a+5a+15+14b-20\)

\(=3a^2+14a+14b-5\)

=>VT=VP

c: \(VT=a\left(b-x\right)+x\left(a+b\right)\)

\(=ab-ax+ax+bx\)

\(=ab+bx=b\left(a+x\right)=VP\)

d: \(VT=a\left(b-c\right)-b\left(a+c\right)+c\left(a-b\right)\)

\(=ab-ac-ab-bc+ca-cb\)

\(=-2bc\)

=VP

a: \(\left(x+3\right)^3-x\left(3x+1\right)^2+\left(2x+1\right)\left(4x^2-2x+1\right)-3x^2=54\)

\(\Leftrightarrow x^3+9x^2+27x+27-x\left(9x^2+6x+1\right)+8x^3+1-3x^2=54\)

\(\Leftrightarrow9x^3+6x^2+27x+28-9x^3-6x^2-x=54\)

hay x=1

b: Ta có: \(\left(x-3\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2+3x^2=-33\)

\(\Leftrightarrow x^3-9x^2+27x-27-x^3+27+6x^2+12x+6+3x^2=-33\)

hay x=-1

a. (x + 3)³ - x(3x + 1)² + (2x + 1)(4x² - 2x + 1) - 3x² = 54

<=> x³ + 9x² + 27x + 27 - x(9x² + 6x + 1) + 8x³ - 4x² + 2x + 4x² - 2x + 1 - 3x² = 54

<=> x³ + 9x² + 27x + 27 - 9x³ - 6x² - x + 8x³ - 4x² + 2x + 4x² - 2x + 1 - 3x² = 54

<=> x³ - 9x³ + 8x³ + 9x² - 6x² - 4x² + 4x² - 3x² + 27x - x + 2x - 2x = 26

<=> 26x = 26

<=> x = 1

1 being 

2 to do

3 moving

4 to do

5 take/going

6 leaving 

7 repairing

8 playing

9 to use

10 speaking

AB<AC

=>góc B>góc C

=>90 độ-góc B<90 độ-góc C

=>góc HAB<góc HAC

\(AB< AC\\ \Rightarrow\widehat{C}< \widehat{B}\)

Xét tam giác \(AHB\) và \(AHC\) có

\(\left\{{}\begin{matrix}\widehat{HAB}=90^o-\widehat{B}\\\widehat{HAC}=90^o-\widehat{C}\end{matrix}\right.\)

mà \(\widehat{B}>\widehat{C}\)

\(\Rightarrow\widehat{HAB}< \widehat{HAC}\)

a) Các góc kề bù nhau là: 

1. \(\widehat{xOy}\) và \(\widehat{xOt}\)

2. \(\widehat{yOz}\) và \(\widehat{zOt}\)    

b) Ta có: \(\widehat{yOt}\) là góc bẹt \(\Rightarrow\widehat{yOt}=180^o\)

Mà \(\widehat{xOy}\) và \(\widehat{xOt}\) kề bù \(\Rightarrow\widehat{xOy}+\widehat{xOt}=\widehat{yOt}\)

\(\Rightarrow\widehat{xOt}=\widehat{yOt}-\widehat{xOy}=180^o-45^o=135^o\) 

Ta có: \(\widehat{xOz}=\widehat{xOy}+\widehat{yOz}=45^o+30^o=75^o\)

Mà \(\widehat{yOz}\) và \(\widehat{zOt}\) kề bù \(\Rightarrow\widehat{yOz}+\widehat{zOt}=\widehat{yOt}=180^o\)

\(\Rightarrow\widehat{zOt}=\widehat{yOt}-\widehat{yOz}=180^o-30^o=150^o\)

sd

Chị có thể lên mạng để tham khảo ấy c. 

bạn ơi...

mik lỡ tay đốt nó ròi ;-;;;