Is 4(x+2)+3x+7 equivalent to 7x+14

Mathematics

2 answers:

givi [52]3 years ago

8 0

Answer:

Step-by-step explanation:

Let's solve:

$4(x + 2) + 3x + 7$

Distribute 4 through the parentheses

$= 4x + 8 + 3x + 7$

Collect like terms

$= 7x + 8 + 7$

Add the numbers

$= 7x + 15$

Hope this helps..

best regards!

erica [24]3 years ago

7 0

Answer:

No equal

Step-by-step explanation:

If you multiply through you get

4x+8+3x+7 which equals

7x+15 which is not equal to 7x+14

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Which expression is equivalent to 6/7 divided by 3/5 ?

Harman [31]

Answer:

Step-by-step explanation:

6/7 / 3/5 we invert the divisor and multiply:

= 6/7 * 5/3

8 0

2 years ago

What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

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:

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