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Olegator [25]
3 years ago
9

Simplify. −5x4(−3x2+4x−2)

Mathematics
2 answers:
erastova [34]3 years ago
6 0

Answer:

15x^{6}-20x^{5}+10x^4)

Step-by-step explanation:

We have been given an expression -5x^4(-3x^2+4x-2) and we are asked to simplify our given expression.

We will use distributive property a(b+c)=a*b+a*c to simplify our given expression.

Upon distributing -5x^4 we will get,

(-5x^4*-3x^2)+(-5x^4*4x)-(-5x^4*2)

Using exponent property a^b*a^c=a^{b+c} we will get,

(15x^{4+2})+(-20x^{4+1})-(-10x^4)

(15x^{6})+(-20x^{5})-(-10x^4)

15x^{6}-20x^{5}+10x^4)

Therefore, our given expression simplifies to 15x^{6}-20x^{5}+10x^4).

Serggg [28]3 years ago
3 0
The answers my dear friends is 15x^6-20x^5+10x^4
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3 years ago
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93% of x = 198 tons
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Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.
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Answer:

\huge\boxed{6,\ -30;\ 78;\ -246;\ 690}

Step-by-step explanation:

a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78

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Step-by-step explanation:

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