The expression given is 2x² + 3x⁴. To simplify this, we can factor out the greatest common factor (GCF). Step 1: Identify the terms in the expression. The terms are 2x² and 3x⁴. Step 2: Find the greatest common factor (GCF) of the terms. For the numerical coefficients (2 and 3), the GCF is 1. For the variable parts (x² and x⁴), the GCF is x² (the lowest power of x). So, the overall GCF is x². Step 3: Factor out the GCF from each term. Divide each term by x²: (2x²)/(x²) = 2; (3x⁴)/(x²) = 3x⁴⁻² = 3x² Step 4: Write the factored expression. Place the GCF outside the parentheses and the results from Step 3 inside. x²(2 + 3x²) The factored expression is: x²(2 + 3x²)

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2 2x2 + 3x4

June 9, 2026Mathematics

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Answer

x^2(2 + 3x^2)

Step-by-step solution

4 steps

The expression given is $2x^2 + 3x^4$ . To simplify this, we can factor out the greatest common factor (GCF).

Identify the terms in the expression.
The terms are $2x^2$ and $3x^4$ .
Find the greatest common factor (GCF) of the terms.
For the numerical coefficients (2 and 3), the GCF is 1.
For the variable parts ( $x^2$ and $x^4$ ), the GCF is $x^2$ (the lowest power of $x$ ).
So, the overall GCF is $x^2$ .
Factor out the GCF from each term.
Divide each term by $x^2$ :
$\frac{2x^2}{x^2} = 2$ $\frac{3x^4}{x^2} = 3x^{4-2} = 3x^2$
Write the factored expression.
Place the GCF outside the parentheses and the results from Step 3 inside.
$x^2(2 + 3x^2)$

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2 2x2 + 3x4

Answer

Step-by-step solution

Identify the terms in the expression.

Find the greatest common factor (GCF) of the terms.

Factor out the GCF from each term.

Write the factored expression.

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