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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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