2 years ago

(x+6)(x+4)(x-3) expand and simplify

Mathematics

2 answers:

marin [14]2 years ago

5 0

Answer:

Step-by-step explanation:

(x+6)(x+4)(x-3)

= [(x+6)(x+4)](x-3)

= (x² + 4x + 6x + 24)(x - 3)

= (x² +10x + 24)(x - 3)

= x³ - 3x² + 10x² - 30x + 24x - 72

= x³ + 7x² - 6x - 72

masha68 [24]2 years ago

4 0

Answer:

x^3 +7x^2 - 6x - 72.

Step-by-step explanation:

(x + 6)(x + 4)(x - 3)

= (x + 6)[x(x - 3) + 4(x - 3)]

= (x + 6)(x^2 - 3x + 4x - 12)

= (x + 6)(x^2 + x - 12)

= x(x^2 + x - 12) + 6(x^2 + x - 12)

= x^3 + x^2 - 12x + 6x^2+ 6x - 72

= x^3 +7x^2 - 6x - 72.

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