Answer:

1.How to solve your problem

3+1

m3+1m^{3}+1m3+1

Grouping

Find one factor

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(+1)(2−+1)

(m+1)(m2−m+1)}{m^{2}-m+1}})}}(m+1)(m2−m+1)

Solution

(+1)(2−+1)

2.How to solve your problem

3+343

n3+343n^{3}+343n3+343

Grouping

1

Find one factor

Factor by grouping

Factor by grouping

Factor by grouping

(+7)(2−7+49)

(n+7)(n2−7n+49)

{n^{2}-7n+49}})}}(n+7)(n2−7n+49)

Solution

(+7)(2−7+49)

3.   51

4.How to solve your problem

273+125

27y3+12527y^{3}+12527y3+125

Grouping

Find one factor

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(3+5)(92−15+25)

(3y+5)(9y2−15y+25)({9y^{2}-15y+25}})}}(3y+5)(9y2−15y+25)

Solution

(3+5)(92−15+25)

5.How to solve your problem

643+216

64a3+21664a^{3}+21664a3+216

Grouping

Common factor

643+216

64a3+216{8(8a^{3}+27)}}8(8a3+27)

Find one factor

Solution

8(2+3)(42−6+9)

Step-by-step explanation:

#carryonlearing :)