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WINSTONCH [101]
2 years ago
8

Can you please help me on -5(x+2)=-(-5x+1)-x

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
7 0

Answer:

x = -1

Step-by-step explanation:

<u>Step 1:  Distribute</u>

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

-5x - 10 = 5x - 1 - x

<em>-5x - 10 = 4x - 1</em>

<em />

<u>Step 2:  Solve for x</u>

-5x - 10 + 5x = 4x - 1 + 5x

-10 + 1 = 9x - 1 + 1

-9 / 9 = 9x / 9

<em>-1 = x</em>

<em />

Answer:  x = -1

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The expansion of given expression is given by:

Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\&#10;(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\&#10;(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7

Thus, Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

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