\(=\left(a^3+b^3\right)\left[a^6-\left(ab\right)^3+b^6\right]\)

\(=a^9-a^6b^3+a^3b^6+a^6b^3-a^3b^6+b^9\)

\(=\left(-a^6b^3+a^6b^3\right)+\left(a^3b^6-a^3b^6\right)+a^9+b^9\)

\(=a^9+b^9\)

\(\left(a+b\right)\left(a^2-ab+b^2\right)\left[a^6-\left(ab\right)^3+b^6\right]\)

\(=\left(a^3+b^3\right)\left(a^6-a^3b^3+b^6\right)\)

\(=a^9+b^9\)

a, x²+x³-4x+4=x²(x+1)-4(x+1)=(x+1)(x²-4)=(x+1)(x-2)(x+2)

1. (a+b).(a+b)=\(\left(a+b\right)^2\)

2. (a-b).(a-b)=\(\left(a-b\right)^2\)

3. (a+b).(a-b)=\(a^2-b^2\)

4. (a+b).(a²- ab +b²)=\(a^3+b^3\)

5. (a-b).(a² + ab + b²)=\(a^3-b^3\)

6. (a+b).(a²+ 2ab + b²)=\(\left(a+b\right).\left(a+b\right)^2=\left(a+b\right)^3\)

7. (a-b).(a²- 2ab + b²)=\(\left(a-b\right).\left(a-b\right)^2=\left(a-b\right)^3\)

a, (-17) + (-83)

= -(17 + 83)

= 100

b, 2².(-115) + 15.2² - 2022⁰

= -2².(115 - 15) - 1

= -4.100 - 1

= -400 - 1

= -401

c, -53.(-25) + 53.(-89) + (-6)².(-53)

=    53.25 - 53.89 - 53.36

= 53.(25 - 89 - 36)

= 53. (-100)

= - 5300 

1) (a+b).(a+b)=(a+b)²=a²+2ab+b²

2) (a-b)2=a²-2ab+b²

3) (a+b).(a-b)=a²-b²

4) (a+b)³=a³+3a²b+3ab²+b³

5) (a-b)³=a³-3a²b+3ab²-b³

6) (a+b).(a²-ab+b²)=a³⁺b³

7) (a-b).(a²+ab+b²)=a³-b³

mấy cái ày là hằng đẳng thức đáng nhớ mà

lấy a+a b+b

lấy b^2-a

lấy a.b b.a

a^3 +b

b^3-a

hai câu cuối thì mình k biết