(x+6)(x+4)(x-3) expand and simplify
2 answers:
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
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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