Question

Trent writes p^2 + 30 = (p + 30)(p + 0) Do you agree with Trent? Explain why

Answer 1

Answer:

Statement expressed by Trent is RIGHT.

$(p^2 + 30) = (p+30)(p +0)$

Step-by-step explanation:

Here, the given expression is:

( to show)   :  $(p^2 + 30) = (p+30)(p +0)$

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:

$(p +30)(p) = p(p) + 30(p) \\= p^2 + 30p\\\implies (p+30)(p+0) = p^2 + 30p$

⇒ Left side  = Right side

Hence,  statement expressed by Trent is RIGHT.