Which statements are true? select each correct answer. 15m3−6m=3m(5m2−6m) 32m4+12m3=4m3(8m+3) 6m2+18m=6m2(1+3m) 40m6−4=4(10m6−1)

Option (b) and (d) are correct.

b)

d)

Step-by-step explanation:

Given: Some statement

We have to check which statements are true.

We will check all one by one.

Consider

a)

Consider the Left hand side of the given statement,

Taking 3m common from each term, we have,

Thus, LHS ≠ RHS

Thus, the statement is false.

b)

Consider the Left hand side of the given statement,

Taking common from each term, we have,

Thus, LHS = RHS

Thus, the statement is True.

c)

Consider the Left hand side of the given statement,

Taking 6m common from each term, we have,

Thus, LHS ≠ RHS

Thus, the statement is false.

d)

Consider the Left hand side of the given statement,

Taking 4 common from each term, we have,

Thus, LHS = RHS

Thus, the statement is True.

Thus, Option (b) and (d) are correct.