Step-by-step Solution

Simplify the algebraic expression $5\left(\frac{x^2+3x+5}{2x-1}\right)\left(\frac{2x^2-2x-13}{4x^2-4x+1}\right)$

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Step-by-step explanation

Problem to solve:

$5\frac{x^2+3x+5}{2x-1}\cdot\frac{2x^2-2x-13}{4x^2-4x+1}$

Learn how to solve simplification of algebraic expressions problems step by step online.

$\frac{5\left(x^2+3x+5\right)}{2x-1}\frac{2x^2-2x-13}{4x^2-4x+1}$

Unlock this full step-by-step solution!

Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the algebraic expression 5(x^2+3x+5)/(2x-1)*(2x^2-2x-13)/(4x^2-4x+1). Multiplying the fraction by 5. The trinomial 4x^2-4x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final Answer

$\frac{5\left(x^2+3x+5\right)\left(2x^2-2x-13\right)}{\left(2x-1\right)^{3}}$
$5\frac{x^2+3x+5}{2x-1}\cdot\frac{2x^2-2x-13}{4x^2-4x+1}$

Time to solve it:

~ 0.31 s (SnapXam)