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blagie [28]
3 years ago
10

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

Mathematics
1 answer:
Bingel [31]3 years ago
8 0

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.

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