Question

Factor each completely

A.x³+125
B.a³+64
C.x³-64
D.u³+8
E. .8a³+64b³
.Supply the missing expression.1.m³-27=(m-3) (______) 2.64+27n³=(_____) (16-12n+9n²) 3._____=(2p+5q) (4p²-10pq+25q²) 4.x⁶+1000=(____) (x⁴-10x²+100) 5.____=(6x-7y) (36x²+42xy+49y²)

Answer 1

To factor each expression completely, apply the appropriate factoring methods.

Step-by-step explanation:

To factor each given expression completely:

1. A.x³+125 = (x+5)(x²-5x+25)
2. B.a³+64 = (a+4)(a²-4a+16)
3. C.x³-64 = (x-4)(x²+4x+16)
4. D.u³+8 = (u+2)(u²-2u+4)
5. E.8a³+64b³ = 8(a³+8b³) = 8(a+2b)(a²-2ab+4b²)