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3 years ago

Multiply (x-4)(x^2-5x-6) ...?

Mathematics

2 answers:

Inga [223]3 years ago

7 0

Answer:

<em>The answer is: $x^3-9x^2+14x+24$ </em>

Step-by-step explanation:

The given expression is: $(x-4)(x^2-5x-6)$

For getting the product, <u>we need to distribute $(x-4)$ with each term in the second parenthesis</u>. So.....

$(x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms]$

So, the answer is: $x^3-9x^2+14x+24$

frez [133]3 years ago

6 0

See attached photo for answer.

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12345 [234]

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Vinvika [58]

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3 years ago

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Ksenya-84 [330]

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3 years ago

A pedestrian walks 7.4 kilometers west

attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$

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