a: \(8x^3-1=\left(2x-1\right)\left(4x^2+2x+1\right)\)
b: \(x^3+8y^3=\left(x+2y\right)\left(x^2-2xy+4y^2\right)\)
c: \(x^3+125=\left(x+5\right)\left(x^2-5x+25\right)\)
d: \(x^3-27y^3=\left(x-3y\right)\left(x^2+3xy+9y^2\right)\)
a) 8x3 - 1
= (2x)3 - 13
= (2x - 1)(4x2 + 2x + 1)
b) x3 + 8y3
= x3 + (2y)3
= (x + 2y)(x2 + 2xy + 4y2)
c) x3 + 125
= x3 + 53
= (x + 5)(x2 - 5x + 25)
d) x3 - 27y3
= x3 - (3y)3
= (x - 3y)(x2 + 3xy + 9y2)
Chúc bạn học tốt
a. 8x3 - 1
⇔ (2x)3 - 13
⇔ (2x - 1)3.
b. x3 + 8y3
⇔ x3 + (2y)3
⇔ (x + 2y)3
c. x3 + 125
⇔ x3 + 53
⇔ (x + 5)3
d. x3 - 27y3
⇔ x3 - (3y)3
⇔ (x - 3y)3
