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Multiply and rewrite as a trinomi

Multiply and rewrite as a trinomi-example-1
User RMcLeod
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2 Answers

5 votes

Explanation:

Using the FOIL method:

First: X * X = X^2

Outer: X * 5 = 5X

Inner: 3 * X = 3X

Last: 3 * 5 = 15

Combining like terms, we get:

X^2 + 8X + 15

Therefore, (X+3)(X+5) = X^2 + 8X + 15.

User ITO Yosei
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7.5k points
3 votes

Given :-

  • (x+3)(x+5)

To find:-

  • To write it as a trinomial.

Answer:-

The given expression is (x+3)(x+5) and we are interested in writing it as a trinomial . A trinomial is a algebraic expression that has three terms in it .

So , we can simply the given expression as ,


\implies (x+3)(x+5) \\


\implies x(x+5)+3(x+5) \\


\implies x^2 + 5x + 3x + 15 \\


\implies \underline{\underline{ x^2+8x+15}} \\

Hence last choice is correct.

And we are done!

User Theodora
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7.9k points