# Simplify 2x^{2}+5x+2

Simplify
$2{x}^{2}+5x+2$
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ambarakaq8
Step 1
To simplify the algebraic expression $2{x}^{2}+5x+2$. Now for the simplification of the provided expression use the splitting term method to factorize the provided expression.
Step 2
According to the Splitting term method of factorization, consider the leading term and constant term of expression. Multiply them each other and factor them in two number in which the sum of the number is the coefficient of the middle term.
Step 3
Consider the provided expression $2{x}^{2}+5x+2$
$2{x}^{2}+5x+2=2{x}^{2}+4x+x+2$
=2x(x+2)+1(x+2)
=(2x+1)(x+2)
Step 4
Therefore, the simplified from the provided expression $2{x}^{2}+5x+2$ is (2x+1)(x+2).

Annie Gonzalez
$2{x}^{2}+5x+2=2{x}^{2}+4x+x+2$
=2x(x+2)+1(x+2)
=(x+2)(2x+1)