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3 years ago

Expand and simplify 2(3x-5)+3(2x+3)

Mathematics

2 answers:

kirill [66]3 years ago

4 0

2(3x - 5) + 3(2x + 3) =
6x - 10 + 6x + 9 =
12x - 1 <===

Ad libitum [116K]3 years ago

3 0

First you do 2 x 3x which will be 6x you then look to see whether there is a plus or minus next we see that it is a minus after this you do 2 x 5 which is 10 so the first bit is 6x - 10 we then look to see whether we have a plus or a minis we look to see that it is a plus you then work out the next bracket so you do 3 x 2x to give us 6x we see that we need to add a plus then do 3 x 3 which is 9 together it is 6x - 10 + 6x + 9 so now we have to simplify it so you do 6x + 6x which is 12x then do -10 + 9 which is -1 so the answer is 12x - 1

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(2a^2b + 3ab^2 - b^3) - (4b^3 - 3ab^2 -6a^2b)

skelet666 [1.2K]

Hi there!

~

$(2a^2b+3ab^2-b^3)-(4b^3-3ab^2-6a^2b)$

Distribute the Negative Sign:

$= 2a^2 b + 3ab^2 - b^3 + -1(4b^3 - 3ab^2 - 6a^2b)\\= 2a^2 b + 3ab^2 + - b^3 + -1 (4b^3) + -1 (-3ab^2) + -1 (-6a^2b)\\= 2a^2 b + 3ab^2 + -b^3 + -4b^3 + 3ab^2 + 6a^2 b$

Combine Like Terms:

$= 2a^2 b + 3ab^2 - b^3 + -4ab^3 + 3ab^2 + 6a^2 b\\= (2a^2 b + 6a^2 b) + ( 3ab^2 + 3ab^2) + (-b^3 + -4b^3) \\= 8a^2 b + 6ab^2 + -5b^3$

Answer : $8a^2 b + 6ab^2 + -5b^3$

Hope this helped you!

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3 years ago

What is 65 less then j in a algebraic expression

neonofarm [45]

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Solve each system by elimination.

strojnjashka [21]

Answer:

y = -1, x = -2

Step-by-step explanation:

First, multiply the top equation by 2 to make 3x become 6x:

6x - 8y = -4

Second, multiply the bottom equation by 3 to make -2x become -6x:

9y - 6x = 3

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y = -1

Plug in y as -1 into the first or second equation:

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3 years ago