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USPshnik [31]
3 years ago
13

Simplify m3 + m3 And Simplify 10+3c+5d-7c+d

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0

For this case we must simplify the following expressions:

m ^ 3 + m ^ 3\\10 + 3c + 5d-7c + d

Expression 1:

m ^ 3 + m ^ 3 =

They are similar terms so we can add.

2m ^ 3

Expression 2:

10 + 3c + 5d-7c + d =

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

10 + 3c-7c + 5d + d =\\10-4c + 6d

Answer:

m ^ 3 + m ^ 3 = 2m ^ 3\\10 + 3c + 5d-7c + d = 10-4c + 6d

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damaskus [11]

Answer:

\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }

Step-by-step explanation:

Hello, please find below my work.

2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0

\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago
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