Question

question
expand the expression to a polynomial in standard form:
(3x + 10)(-3x² + x - 3)

Explanation:

Step1: Distribute $3x$ to each term

$3x \cdot (-3x^2) + 3x \cdot x + 3x \cdot (-3)$
$= -9x^3 + 3x^2 - 9x$

Step2: Distribute $10$ to each term

$10 \cdot (-3x^2) + 10 \cdot x + 10 \cdot (-3)$
$= -30x^2 + 10x - 30$

Step3: Combine all resulting terms

$-9x^3 + 3x^2 - 9x - 30x^2 + 10x - 30$

Step4: Combine like terms

$-9x^3 + (3x^2 - 30x^2) + (-9x + 10x) - 30$
$= -9x^3 - 27x^2 + x - 30$

Answer:

$-9x^3 - 27x^2 + x - 30$