How do you find the product of #(9x + 4)^2#?

Answer 1

# 81x^2 + 72x + 16 #

To simplify this expression, or any expression, a good start would be writing it out completely and getting rid of the exponent. This will make it a lot easier to multiply.

# (9x + 4)^2 # will become # (9x + 4)(9x + 4) #

Now we can begin to multiply by using the FOIL method.

Take the # color(blue)"first term in the first binomial" # and multiply it with # color(green)"every term in the second binomial" #.
Then take the # color(red)"second term in the binomial" # and multiply it with # color(green)"every term in the second binomial" #.
# (9x + 4)(9x + 4) #
# (color(blue)(9x) + 4)(color(green)(9x) + 4) # # color(orange)(->) 9x * 9x color(orange)(->) color(red)(81x^2) #
# (color(blue)(9x) + 4)(9x # # color(green)( + 4)) # # color(orange)(->) 9x * 4 color(orange)(->) color(red)(36x) #
# (9x # #color(red)( + 4))(color(green)(9x) + 4) # # color(orange)(->) 4 * 9x color(orange)(->) color(red)(36x) #
# (9x # #color(red)( + 4))(9x # # color(green)( + 4)) # # color(orange)(->) 4 * 4 color(orange)(->) color(red)(16) #

Now all we have to do is add the terms that we got and simplify.

# 81x^2 + 36x +36x + 16 # # 81x^2 + 72x + 16 #
As you can see, when we simplify our initial expression, we get our answer which is # 81x^2 + 72x + 16 #.
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Answer 2

To find the product of ((9x + 4)^2), you square the binomial. This means multiplying the binomial by itself. Using the FOIL method or the distributive property, you multiply the first term by itself, then the outer terms, inner terms, and last terms, and finally combine like terms. So, ((9x + 4)^2) equals (81x^2 + 72x + 16).

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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.

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.

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.

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.

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