How do you multiply #(3x + 9)(2x + 5)#?

Answer 1

#(3x+9)(2x+5)=6x^2+33x+45#

If you find it helpful then you can use the FOIL mnemonic to help collate all the combinations to multiply and add...

#(3x+9)(2x+5) = overbrace(3x*2x)^"First" + overbrace(3x*5)^"Outside"+overbrace(9*2x)^"Inside"+overbrace(9*5)^"Last"#
#color(white)((3x+9)(2x+5)) =6x^2+15x+18x+45#
#color(white)((3x+9)(2x+5)) =6x^2+33x+45#
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Answer 2

Another way of showing the same thing:

#6x^2+33x+45#

#color(blue)((3x+9))color(brown)((2x+5))#
Multiply everything inside the right hand side bracket by everything inside the left. Note that the signs follow the value they relate to. So the plus in #+9# follows the 9 and the plus (understood) in #+3x# follows the #3x# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)( color(blue)(3x)(2x+5)" "color(blue)(+9)(2x+5))#
#6x^2+15x" "+18x+45#
#6x^2+33x+45#
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Answer 3

To multiply (3x + 9)(2x + 5), you can use the distributive property or the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, you multiply the first term of each binomial: (3x \times 2x = 6x^2).

Outer, you multiply the outer terms: (3x \times 5 = 15x).

Inner, you multiply the inner terms: (9 \times 2x = 18x).

Last, you multiply the last terms: (9 \times 5 = 45).

Then, you combine like terms: (6x^2 + 15x + 18x + 45).

Finally, simplify the expression: (6x^2 + 33x + 45).

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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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