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sleet_krkn [62]
3 years ago
8

How can i solve this (x+2)(2x+3) step by step please

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

GarryVolchara [31]3 years ago
4 0

Answer:

2<em>x</em>^2+7<em>x</em>+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2<em>x</em>^2+7<em>x</em>+6

(<em>x</em>+2)(2<em>x</em>+3)

First, <em>multiply the variables</em> (<em>x</em>).

(<em>x</em>)(2<em>x</em>) = 2<em>x</em>^2

  • <em>NOTE: the '^' before a number is used to signify an exponent.</em>

Then, <em>multiply the whole numbers</em> (2, 3).

(2)(3) = 6

Now, you're not done. You need to <em>multiply the variables and the whole numbers </em>(that weren't already multiplied together)

(<em>x</em>)(3) = 3<em>x</em>

(2)(2<em>x</em>) = 4<em>x</em>

  • <em>NOTE: make sure you're multiplying one expression to the other, </em><em>not </em><em>multiplying the same expression together.</em>

Finally, add them all together, and simplify.

2<em>x</em>^2 + 6 +3<em>x </em>+ 4<em>x</em>

<em>=</em>

2<em>x</em>^2+7<em>x</em>+6

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3 years ago
Solve for x. 5(x – 10) = 30 – 15x
SIZIF [17.4K]
Hey!


The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.

<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x

<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x

The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.

<em>Old Equation :</em>
5x - 50 = 30 - 15x

<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x

And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.

<em>Old Equation :</em>
5x = 80 - 15x

<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80

Now we divide both sides by 20 to get x on it's own.

<em>Old Equation :</em>
20x = 80

<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
\frac{20x}{20} = \frac{80}{20}

Finally, all we have to do is solve to find x.

<em>Old Equation :</em>
\frac{20x}{20} = \frac{80}{20}

<em>Solution {Old Equation Solved} :</em>
x = 4

<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>,  x = 4.

Hope this helps!


- Lindsey Frazier ♥</span>
3 0
3 years ago
Read 2 more answers
Rewrite using a single exponent:<br><br> (4^6)^6
SVETLANKA909090 [29]

(4)^36

Multiply the exponent 6 by 6 to get the new exponent of 36

7 0
3 years ago
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