Answer:
24
Step-by-step explanation:
It is done by Middle term splitting.
Taking the general equation ax² + bx + c, by middle term splitting, "b" should be splitted such that the numbers either on adding or on subtracting must be equal to "b" and their products must be equal to "a x c".
For example, in the question it's already given that the equation 8x² + bx + c is middle term splitted into 8x² + px + qx + 3.
So, that means "p x q" must be equal to "8 x 3", i.e., 24.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
Answer:
A
Step-by-step explanation:
2 cubes horizontal, 3 cubes (down) vertical, 2 cubes horizontal.
Answer:
d
Step-by-step explanation:
if you tried to do the d you would end up with this
/_)
Answer:
27
Step-by-step explanation:
2(6) + -5(-3)
= 12+15
= 27
Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers ![[(7)^{5}*(7)^{3}]](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D)
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:


Then,
We have a power of a power case, which involves multiplying the exponents:
![[(7)^{5}*(7)^{3}]^{-4}](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D%5E%7B-4%7D)
Exponents: 3 and -4
Then,

Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:

Have a nice day!