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Simplify the numerator by combining like terms.

May 9, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{1}{2}

4 steps

Simplify the numerator by combining like terms.
$2x^3 + 8x^3 = (2+8)x^3 = 10x^3$
Simplify the denominator.
First, evaluate the squared term.
$(2x)^2 = 2^2 x^2 = 4x^2$
Now, multiply this by $5x$ :
$(5x)(4x^2) = 5 \cdot 4 \cdot x \cdot x^2 = 20x^{1+2} = 20x^3$
Substitute the simplified numerator and denominator back into the expression.
$\frac{10x^3}{20x^3}$
Simplify the fraction by canceling out common terms.
$\frac{10x^3}{20x^3} = \frac{10}{20} = \frac{1}{2}$
The simplified expression is:
$\frac{1}{2}$