To factor the expression 4qr - qr^3, we first notice that both terms have a common factor of qr. We can factor out qr to get qr(4 - r^2). Next, we recognize that 4 - r^2 is a difference of squares, which can be factored further as (2 + r)(2 - r). Therefore, the fully factored form of 4qr - qr^3 is qr(2 + r)(2 - r).
8c cubed
x times x times x equals x cubed
3k
(y + 3z)(y^2 - 3yz + 9z^2)
the GCF is 8x
8c cubed
One is the only factor of 50 that is a cube.
a(a^2 + 1)
x times x times x equals x cubed
(2a + c)(4a2 - 2ac + c2)
3^3, or 27, is a factor of 108.
64 x cubed minus y cubed is (4x - y)(16x^2 + 4xy + y^2)
(y + 27)(y^2 - 27y + 729)
sin cubed + cos cubed (sin + cos)( sin squared - sin.cos + cos squared) (sin + cos)(1 + sin.cos)
(c - z)(c^2 + cz + z^2)
w3+125
cubed