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3 years ago

(2x - 1) (5x + 3) - (2x - 1)(x - 1)

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Answer:

${8x}^{2} + 4x - 4$

Step-by-step explanation:

1) Use foil method: (a + b ) (c + d) = ac + ad + bc + bd.

${10x}^{2}+6x-5x-3-(2x-1)(x - 1)$

2) Use foil method: (a + b ) (c + d) = ac + ad + bc + bd.

${10x}^{2} + 6x - 5x - 3 - ( {2x}^{2} - 2x - x + 1$

3) Remove parentheses.

${10x}^{2} + 6x - 5x - 3 - {2x}^{2} - 2x - x + 1$

4) Collect like terms.

$( {10x}^{2} - {2x}^{2} ) + (6x - 5x + 2x + x) + ( - 3 - 1)$

5) Simplify.

${8x}^{2} + 4x - 4$

Therefor, the answer is 8x² + 4x - 4.

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3 years ago

Simplify the expression 6C5. a.6. b. 24 C. 30 d. 720

Lana71 [14]

<h3>Answer: A) 6</h3>

=====================================================

Explanation:

Plug n = 6 and r = 5 into the nCr combination formula

$_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\$

Or you could use the shortcut

$_n C _{n-1} = n\\\\$

Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.

A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.

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2 years ago

Question:

aleksklad [387]

Answer:

There are 10 blocks in a row (section). There are 6 rows (sections).

A. If each block has a value of one, what is the value for a section of blocks?

There are 10 blocks in a section. 10 * 1 = 10

B. What is the total value of all the blocks, write an equation?

There are 6 sections. There are 10 blocks in a section. 6 * 10 * 1 = 60

A. If each block has a value of ten, what is the value for a section of blocks?

There are 10 blocks in a section. 10 * 10 = 100

B. What is the total value of all the blocks, write an equation?

There are 6 sections. There are 10 blocks in a section. 60 * 10 * 10 = 600

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3 years ago

Extra points giving away who ever get this right first gets brainlest 468 weeks = ______ years

Colt1911 [192]

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3 years ago

(2x - 1) (5x + 3) - (2x - 1)(x - 1)​

(2x - 1) (5x + 3) - (2x - 1)(x - 1)