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3 years ago

Combine like terms. 19/4rs-8/3r+1/4rs+9

Mathematics

2 answers:

Artemon [7]3 years ago

7 0

$\frac{19}{4}rs -\frac{8}{3}r^2+\frac{1}{4}rs +9$

The only like terms are 19/4rs and 1/4rs because they have the same variables, so: [I rearranged, to put the like terms next to each other]

$-\frac{8}{3}r^2+\frac{19}{4}rs+\frac{1}{4}rs+9$ Since the denominators are already the same, you can combine the fractions

$-\frac{8}{3}r^2+\frac{20}{4} rs+9$

$-\frac{8}{3} r^2+5rs+9$

netineya [11]3 years ago

3 0

Answer:5

Step-by-step explanation:

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3 years ago

Expand (2 + a)9 using Pascal’s triangle.

Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

1 $(A + B) ^ 0$ = 1

1 1 $(A +B ) ^ 1 = 1A + 1B$

1 2 1 $(A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2$

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1 9 36 84 126 126 84 36 9 1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

$1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B$

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

$1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9$

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

$A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9$

Hope you can learn the method

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3 years ago

I just need the straight up answer lolol

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The correct answer is -5

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