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

Answer: B and D

Step-by-step explanation: I took the quiz

Answer 2

Option (b) and (d) are correct.

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

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

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.