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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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BigorU [14]

Answer:

y = -\frac{1}{3}

2\frac{2}{3}=x

Step-by-step explanation:

To solve a system of equations, solve one or both of the equations for the same variable. Then multiply one of the equations such that the coefficients of one variable are the additive inverse of the variable in the other equation. After doing so, add the two equations, then solve for the other variable using inverse operations. Finally, substitute the value of the other variable into one of the original equations in the system and solve for the unknown variable.

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First, manipulate the first equation such that the equation is solved for (y), this can be done using inverse operations,

y = 3 - 2x

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Now multiply the second equation by (2) so that the (x) coefficients are additive inverses of each other,

y = 3 - 2x

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Add the equations,

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Inverse operations,

3y = -1

/3     /3

y = -\frac{1}{3}

Now back solve, substitute the value of (y) into the equation and solve for (x),

y=x-3\\

Substitute,

(-\frac{1}{3})=x-3

+3

2\frac{2}{3}=x

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