Can anyone help me?

Mathematics

2 answers:

Charra [1.4K]3 years ago

4 0

  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

mixer [17]3 years ago

3 0

Answer:

2x + 5 = l

Step-by-step 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

You might be interested in

Find the distance between the points (4,-2) and (0,10)

vagabundo [1.1K]

We can solve this problem by using the distance formula. The distance formula is: $\sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}}$ We can now put in values and solve.