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Question
simplify: \\(\left(-6x^{3} + 3x\
ight)\left(x^{2} + 5x\
ight)\\)
Step1: Apply distributive property
$(-6x^3)(x^2) + (-6x^3)(5x) + 3x(x^2) + 3x(5x)$
Step2: Calculate each term
$-6x^{3+2} -30x^{3+1} + 3x^{1+2} + 15x^{1+1}$
Step3: Simplify exponents
$-6x^5 -30x^4 + 3x^3 + 15x^2$
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$-6x^5 -30x^4 + 3x^3 + 15x^2$