The product of something means multiplying the terms together.
(2x+3) (4x^2-5x+6)
Secondly you need to distribute the terms to each other (Think of problems like FOIL)
2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6
Then you must take into account that some of the numbers are negative. (minus-plus rules!)
2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6
Now is the tricky part of simplifying everything.
2x * 4x^2 = 8x^3
2x * 5x = 10x^2
2x * 6 = 12x
3 * 4x^2 = 12x^2
3 * 5x = 15x
3 * 6 = 18
8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18
Then you group like terms.
8x^3 - 10x^2 + 12x^2 - 3x + 18
8x^2 + 2x^2 - 3x + 18
The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!
Answer:
D
Step-by-step explanation:
<h3>a)
</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2>
<h3>Hence, Quotient =
</h3>
<h3>b)
</h3><h3>■Convert the decimals into a fractions</h3>
<h2>
</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, Quotient is
</h3>
<h3>c)
</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, The Quotient is
</h3>
Answer:Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches. (Cubic inches can also be written in3.)
Answer:
2^6, 64
Step-by-step explanation: The simplified version is two to the fifth power and the answer is 64. Those are the two I know
