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Step-by-step Solution

Simplify the algebraic expression $\left(6-4x-x^2\right)^2$

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Step-by-step explanation

Problem to solve:

$\left(6-4x-x^2\right)^2$

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

$\left(-\left(x^2+4x-6\right)\right)^2$

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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the algebraic expression (6-4x-x^2)^2. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+4x+4. Multiplying by -1.

Answer

$\left(10-\left(x+2\right)^2\right)^2$

Problem Analysis