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Snezhnost [94]
3 years ago
9

Factor completely.

Mathematics
2 answers:
Klio2033 [76]3 years ago
4 0

Answer:

A.) (7t³ + 2k^4)(7t³ - 2k^4)

Step-by-step explanation:

This is what we call a conjugate binomial which is two binomials with similar terms but with one of those terms with different signs, this shows a result of the first term squared minus the second term squared.

The formula for conjugate binomials are:

(a+b)(a-b)= a^{2}-b^{2}

In this case the multiplication of

(7t³ + 2k^{8})(7t³ - 2k^{8} )= 49 t^{6} + 14k^{4}t^{3} - 14k^{4}t^{3}  - 4k^{8}

After substracting the second and the third term you are left with:

49t^{6} - 4k^{8}

tatyana61 [14]3 years ago
3 0

Answer:

A.) (7t³ + 2k^4)(7t³ - 2k^4)

Step-by-step explanation:

Factor the following:

49 t^6 - 4 k^8

49 t^6 - 4 k^8 = (7 t^3)^2 - (2 k^4)^2:

(7 t^3)^2 - (2 k^4)^2

Factor the difference of two squares. (7 t^3)^2 - (2 k^4)^2 = (7 t^3 - 2 k^4) (7 t^3 + 2 k^4):

Answer:  (7 t^3 - 2 k^4) (7 t^3 + 2 k^4)

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The prism below is made of cubes which measure 1/3 of an inch on one side. What is the volume?
Leto [7]

Answer:

the answer is A.  10/8 cubic in.

Step-by-step explanation:

V = LWH

length is 2 (1/3 in)

width is 3 (1/3 in)

height is 5 (1/3 in)

V = 2/3 in * 3/3 in * 5/3 in.

V = 10/9 cubic in.

3 0
3 years ago
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Help I dont get what to do
Mars2501 [29]

Answer:

  a/(bxy) if b≠0, x≠0, y≠0, x≠y

Step-by-step explanation:

You have correctly simplified the expression. The conditions placed on both the original and simplified forms are that none of the denominator factors may be zero. The denominator factors are b, x, y, and (x-y).

  \dfrac{a}{bxy}\text{ if $b\ne0;$ $x\ne0;$ $y\ne0;$ $x\ne y$}

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2 years ago
Joe ate 1/2 of a pound of peanuts in 1/3 of an hour.
saul85 [17]

Answer:

1 1/2  lbs   and      2 1/4 lbs

Step-by-step explanation:

4 0
3 years ago
Multiply the polynomials show steps
Karo-lina-s [1.5K]

Answer:

3a^{4} + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

<u>When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.</u>

(a² + 4a - 6) × (3a² - a + 3) =

(a² × <em>3a²</em>) + {a² × <em>(-a)</em>} + (a² × <em>3</em>) + (4a × <em>3a²</em>) + {4a × <em>(-a)</em>} + (4a × <em>3</em>) + {(-6) × <em>a²</em>) + {(-6) × <em>(-a)</em>} + {(-6) × <em>3</em>}

<u>Now we can evaluate the terms in the brackets. </u>

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

<u>We can open the brackets now. One plus and one minus makes a minus. </u>

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

<u>Evaluate like terms.</u>

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3a^{4} + 11a³ - 7a² + 18a - 18

5 0
3 years ago
an airplaine descends 1.5 miles to an elevation of 5.25 miles. find the elevation of the plane before its descent
Maksim231197 [3]

We can then write an equation representing this problem as:

e−1.5mi=5.25mi

Now, add 1.5mi to each side of the equation to solve for e while keeping the equation balanced:

e−1.5mi+1.5mi=5.25mi+1.5mi

e−0=6.75mi

e=6.75mi

The plane's starting elevation was 6.75 miles

Hope this helps!

8 0
3 years ago
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