Question

Can anyone help me?

The formula for volume of this rectangular prism is:

V = 2x 3 + 17x 2 + 46x + 40

Answer 1

2x + 5 = l

Explanation:

V = lwh

2x^3 + 17x^2 + 46x + 40 = l(x + 4)(x + 2)

2x^3 + 12x^2 + 16x + 5x^2 + 30x + 40 = l(x + 4)(x + 2)

2x(x^2) + 2x(6x) + 2x(8) + 5(x^2) + 5(6x) + 5(8) = l(x + 4)(x + 2)

2x(x^2 + 6x + 8) + 5(x^2 + 6x + 8) = l(x + 4)(x + 2)

(2x + 5)(x^2 + 6x + 8) = l(x + 4)(x + 2)

(2x + 5)(x^2 + 2x + 4x + 8) = l(x + 4)(x + 2)

(2x + 5)(x)(x) + x(2) + 4(x) + 4(2)) = l(x + 4)(x + 2)

(2x + 5)(x(x + 2) + 4(x + 2)) = l(x + 4)(x + 2)

(2x + 5)(x + 4) + 4(x + 2) = l(x + 4)(x + 2)

(x + 4)(x + 2) (x + 4)(x + 2)

2x + 5 = l

Answer 2

V = lwh
2x³ + 17x² + 46x + 40 = l(x + 4)(x + 2)
2x³ + 12x² + 16x + 5x² + 30x + 40 = l(x + 4)(x + 2)
2x(x²) + 2x(6x) + 2x(8) + 5(x²) + 5(6x) + 5(8) = l(x + 4)(x + 2)
2x(x² + 6x + 8) + 5(x² + 6x + 8) = l(x + 4)(x + 2)
(2x + 5)(x² + 6x + 8) = l(x + 2)(x + 4)
(2x + 5)(x² + 2x + 4x + 8) = l(x + 4)(x + 2)
(2x + 5)(x(x) + x(2) + 4(x) + 4(2)) = l(x + 4)(x + 2)
(2x + 5)(x(x + 2) + 4(x + 2)) = l(x + 4)(x + 2)
(2x + 5)(x + 4)(x + 2) = l(x + 4)(x + 2)
(x + 4)(x + 2) (x + 4)(x + 2)
2x + 5 = l