Using basic or derived rules, prove the validity of the following argument forms. (1) p-q. q-repor (2) pho-p-- (3) -pvoe-(p& -0) (4) p- p--0 -p (5) (p ) & (p-r)p-(q& r) (6) p-q+(p& & r) (7) p-q+() (8) p-pep (9) -p-p-q (10) p& qfp-q

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step-by-step explanation:

it is x=-4

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)