1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klio [65]
3 years ago
6

Find the product (3a4+4)2​

Mathematics
2 answers:
geniusboy [140]3 years ago
5 0

Answer:

The product is 9a^<u>8</u>+24a^4+16

Step-by-step explanation:

Since we have given that (<em>3a^4+4)^2</em>

As we know that (a+b)^2=a^2+2ab+b^2

So, it becomes, (3a^4 + 4)^2=(3a^4)^2+2\times 3a^4\times 4+(4)^2\\\\=9a^8+24a^4+16

Hence, the product is <em>9a^8+24a^4+16</em>

asambeis [7]3 years ago
4 0

The result is

9

a

2

−

16

The reason is the following:

The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:

(

a

+

b

)

⋅

(

a

−

b

)

=

a

2

−

b

2

.

By applying this to our question, we obtain that:

(

3

a

−

4

)

⋅

(

3

a

+

4

)

=

(

3

a

)

2

−

(

4

)

2

=

9

a

2

−

16

.

You might be interested in
Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125
liq [111]

For the given equation;

(3x-5)^2=-125

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}

Now that we have expanded the left side of the equation, we would have;

\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}

ANSWER:

x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}

3 0
1 year ago
What number would represent 6.9 meters below sea level? *
rewona [7]

Answer:

Step-by-step explanation:

Its actually -6.9

6 0
3 years ago
What is the remainder when 1,095 is divided by 7?<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6
Rina8888 [55]
The answer is a or 3

5 0
3 years ago
Read 2 more answers
which digit can replace the? to make this number sentence true 736,554 &lt; 7?6,573 &lt; 736,589 only one answer
mars1129 [50]
You need 3 for ? to make this sentence true, because if you place 3 for ?, 736,554<736,573<736,589 makes sense. If you compare the three numbers, 736,554 is the smallest, then 736,573, and 736,587 is the biggest number.
Hope this answered your question!
8 0
3 years ago
PLEASE HELP!!! A box contains 4 chocolates and 1 fruit chew. Clark and Chloe take turns drawing a treat out of the box without r
soldier1979 [14.2K]
4 you have to add in subject
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the equation of the line passes through (-3,-4) and whose slope is 3/2 in slope intercept form. (Algebra 2 or Geometry)
    7·1 answer
  • What is the integral ln x^1/3 dx.
    8·1 answer
  • If m∠2=39 and m∠3=30, what is m∠1?
    13·1 answer
  • Which of the following can be used to find the sum of the interior angles for any regular polygon?
    7·2 answers
  • Use the drawing tool(s) to form the correct answer on the provided number line.
    10·1 answer
  • What’s 6x-3y=18 in slope int? pls help lol
    5·1 answer
  • A basket contains 6 white socks 4 blue socks and 2 black socks
    14·1 answer
  • Solve the inequality.<br> |3x+7| &lt;_ 4
    15·2 answers
  • Which of the following situations results in 2/3 ? Select three that apply
    15·1 answer
  • 6b 4r represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expre
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!