Question

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)

Answer 1

The 2 and the 4 are true

Answer 2

Answer:

Option (b) and (d) are correct.

b) $32m^4+12m^3=4m^3(8m+3)$

d) $40m^6-4=4(10m^6-1)$

Step-by-step explanation:

Given: Some statement

We have to check which statements are true.

We will check all one by one.

Consider

a) $15m^3-6m=3m(5m^2-6m)$

Consider the Left hand side of the given statement,

$15m^3-6m$

Taking 3m common from each term, we have,

$15m^3-6m=3m(5m^2-2m)$

Thus, LHS ≠ RHS

Thus, the statement is false.

b) $32m^4+12m^3=4m^3(8m+3)$

Consider the Left hand side of the given statement,

$32m^4+12m^3$

Taking $4m^3$ common from each term, we have,

$32m^4+12m^3=4m^3(8m+3)$

Thus, LHS = RHS

Thus, the statement is True.

c) $6m^2+18m=6m^2(1+3m)$

Consider the Left hand side of the given statement,

$6m^2+18m$

Taking 6m common from each term, we have,

$6m^2+18m=6m(m+3)$

Thus, LHS ≠ RHS

Thus, the statement is false.

d) $40m^6-4=4(10m^6-1)$

Consider the Left hand side of the given statement,

$40m^6-4$

Taking 4 common from each term, we have,

$40m^6-4=4(10m^6-1)$

Thus, LHS = RHS

Thus, the statement is True.

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