Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify: \\(\\left(-6x^{3} + 3x\ ight)\\left(x^{2} + 5x\ ight)\\)

Question

simplify: \\(\left(-6x^{3} + 3x\
ight)\left(x^{2} + 5x\
ight)\\)

Explanation:

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

$-6x^5 -30x^4 + 3x^3 + 15x^2$

Answer:

$-6x^5 -30x^4 + 3x^3 + 15x^2$