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olga2289 [7]
4 years ago
11

Can anyone help me?

Mathematics
2 answers:
Charra [1.4K]4 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]4 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

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