1. \(x^3+8y^3\)

\(=x^3+\left(2y\right)^3\)

\(=\left(x+y\right)\left(x^2-2xy+y^2\right)\)

\(=\left(x-y\right)\left(x-y\right)^2\)

\(=\left(x-y\right)^3\)

2. \(a^6-b^3\)

\(=\left(a^2\right)^3-b^3\)

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

\(=\left(a^2-b\right)\left(a^4+a^2b+b^2\right)\)

45¹⁰.5³⁰

=(3².5)¹⁰.5³⁰

=(3²)¹⁰.5¹⁰.5³⁰

=3²⁰.5⁴⁰

=3²⁰.(5²)²⁰

=3²⁰.25²⁰

=(3.5)²⁰

=75²⁰

CMR: Trong tam giÁC vuông:

sinα\(^2\)+cosα\(^2\)=1