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How do you simplify #(x+9)(x+2)#?

Answer 1

Eva Adamson

#x^2 + 9x +2x + 18#
#x^2 +11x +18#

#x# times #x#, #x# times #2#, #9# times #x#, #9# times #2#

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Answer 2

Abigail Allen

#x^2+11x+18#

USE FOIL:

FIRST: Multiply #x# by #x# to get #x^2# OUTSIDE: Multiply #x# by 2 to get #2x# INSIDE: Multiply #x# by 9 to get #9x# LAST: Multiply 9 by 2 to get 18

Then add each answer together to get #x^2+2x+9x+18# Which simplifies to #x^2+11x+18#

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Answer 3

Ethan Adkins

#x^2+11x+18# using FOIL

We can simplify thus using the highly useful mnemonic FOIL, standing for Firsts, Outsides, Insides, Lasts. You'll see we'll multiply the first terms, outside terms, inside terms and last terms. Here's a breakdown:

Thus, we have:

#color(blue)(x^2+2x+9x+18)#

Which simplifies to

#color(blue)(x^2+11x+18)#

Hope this helps!

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Answer 4

Ethan Adkins

To simplify ( (x+9)(x+2) ), you can use the distributive property or FOIL method:

( (x+9)(x+2) ) ( = x(x) + x(2) + 9(x) + 9(2) ) ( = x^2 + 2x + 9x + 18 )

Combine like terms: ( = x^2 + (2x + 9x) + 18 ) ( = x^2 + 11x + 18 )

So, ( (x+9)(x+2) ) simplifies to ( x^2 + 11x + 18 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.