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QUESTION IMAGE

$-4x + 18x^5$

Question

$-4x + 18x^5$

Explanation:

Response

Assuming the problem is to factor the expression \(-4x + 18x^5\), here's the step - by - step solution:

Step 1: Identify the GCF

Find the greatest common factor (GCF) of the terms \(-4x\) and \(18x^5\). The GCF of the coefficients \(-4\) and \(18\) is \(2\), and the GCF of the variable parts \(x\) and \(x^5\) is \(x\). So the overall GCF is \(2x\).

Step 2: Factor out the GCF

Factor out \(2x\) from each term in the expression.
\(-4x+18x^5 = 2x(-2)+2x(9x^4)\)
Using the distributive property \(ab + ac=a(b + c)\), we get \(2x(9x^4 - 2)\)

Answer:

\(2x(9x^{4}-2)\)