Answer:
Statement expressed by Trent is RIGHT.
[tex](p^2 + 30) = (p+30)(p +0)[/tex]
Step-by-step explanation:
Here, the given expression is:
( to show) : [tex](p^2 + 30) = (p+30)(p +0)[/tex]
Now, as we know by DISTRIBUTIVE PROPERTY:
A (B + C) = AB + AC
Consider the RHS of the expression:
(p +30)(p+0) = (p +30)(p) ............ ( a + 0 = a for all a)
Simplifying (p +30)(p) by distributive property, we get:
[tex](p +30)(p) = p(p) + 30(p) \\= p^2 + 30p\\\implies (p+30)(p+0) = p^2 + 30p[/tex]
⇒ Left side = Right side
Hence, statement expressed by Trent is RIGHT.
