Question

a43 - simplify like terms and the dis
score: 12/13 answered: 12/13
question 13
multiply and simplify the expression:
10x(-2x - 13) - 12(22x² + 2x + 19)
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Explanation:

Step1: Distribute the terms

First, distribute \(10x\) into \((-2x - 13)\) and \(-12\) into \((22x^2 + 2x + 19)\).
For \(10x(-2x - 13)\), we get \(10x\times(-2x)+10x\times(-13)= -20x^2 - 130x\).
For \(-12(22x^2 + 2x + 19)\), we get \(-12\times22x^2+(-12)\times2x+(-12)\times19 = -264x^2 - 24x - 228\).

Step2: Combine like terms

Now, combine the two expanded expressions: \((-20x^2 - 130x)+(-264x^2 - 24x - 228)\).
Combine the \(x^2\) terms: \(-20x^2 - 264x^2=-284x^2\).
Combine the \(x\) terms: \(-130x - 24x = -154x\).
The constant term remains \(-228\).
So the simplified expression is \(-284x^2 - 154x - 228\).

Answer:

\(-284x^2 - 154x - 228\)