Answer:
3x+12 = 3(x +4)
Step-by-step explanation:
1)
[tex]3x + 12[/tex]
when we get 3 out,
[tex]3x + 12 = 3(x + 4)[/tex]
This statement is correct
2)
[tex] {x}^{2} - 4[/tex]
We can write this as,
[tex] {x}^{2} - 4 = {x}^{2} + {2}^{2} \\ = (x + 2)(x - 2)[/tex]
But the answer given in the statement is,
[tex](x + 4)(x - 4)[/tex]
So, this statement is incorrect
3)
[tex] {x}^{3} + 8[/tex]
we can write this as,
[tex] {x}^{3} + {2}^{3} \\ (x + 2) ^{3} \\ (x + 2)(x + 2)(x + 2) \\ = (x + 2)( {x}^{2} + 4x + 4)[/tex]
But the answer given in the statement is,
[tex](x - 2)( {x}^{2} - 2x + 4)[/tex]
So, this statement is incorrect
4)
[tex] {x}^{3} - 27 \\ [/tex]
We can write this as,
[tex] {x}^{3} - 27 \\ {x}^{3} - {3}^{3} \\ (x - 3) ^{3} \\ (x - 3)(x - 3)(x - 3) \\ = (x - 3)( {x}^{2} - 6x + 9)[/tex]
But the answer given in the statement is,
[tex](x - 3)( {x}^{2} + 3x + 9)[/tex]
So, this statement is incorrect
hope this helps you.
