Question

Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x - 1) to represent the length and width of her patio.
Which expression represents the area (w) of Vanessa's patio?


a) 3x4-4x³-8x²-35x-10

b) 3x4+14x³+22x²+25x-10

c) 3x4-4x³+22x²+35x+10

d) 3x1+14x³+28x²+35x+10


I’m not really the best at math, my apologies. Thank you.

Answer 1

Answer:

a) 3x⁴-4x³-8x²-35x-10

Step-by-step explanation:

3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)

3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10

3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10

3x⁴-4x³-8x²-35x-10