Question

Perform the operation(s) and simplify completely.

(4−2x)(−6x2+10x+214−2x)


a −x2+2x−8

b −6x2+10x+21

c −x2−2x+12

d −x3+5x2−6x+3

Answer 1

To perform the operation and simplify the expression (4−2x)(−6x^2+10x+21−2x), we can use the distributive property.First, distribute the first term (4−2x) to each term in the second expression (-6x^2+10x+21−2x):(4)(-6x^2) + (4)(10x) + (4)(21) + (4)(-2x) + (-2x)(-6x^2) + (-2x)(10x) + (-2x)(21) + (-2x)(-2x)Simplifying each term:-24x^2 + 40x + 84 - 8x - 12x^3 + 20x^2 + 42x - 4x^2Combining like terms:-12x^3 - 4x^2 - 24x^2 + 20x^2 + 40x + 42x - 8x + 84Simplifying further:-12x^3 - 8x^2 + 74x + 84Therefore, the simplified form of the expression (4−2x)(−6x^2+10x+21−2x) is -12x^3 - 8x^2 + 74x + 84.The correct answer is d) -x^3 + 5x^2 - 6x + 3

Explanation: