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Nimfa-mama [501]
2 years ago
14

Express (x−4)^2 as a trinomial in standard form.

Mathematics
1 answer:
Nitella [24]2 years ago
7 0
Answerrrrrr is in the pic belowwwwww

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Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

brainly would epic!

7 0
3 years ago
Read 2 more answers
Which formula gives the average rate of change of f(x) over the interval [8,12]?
Kruka [31]
I think the answer is C hope this would help you
5 0
3 years ago
Read 2 more answers
Find the total surface area of this triangular prism.<br> 17 cm<br> 8 cm<br> 2 cm<br> 15 cm
kumpel [21]

Answer:

<em> 200cm²</em>

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism  = 200cm²

<em>Hence the total surface area of the prism is 200cm²</em>

8 0
2 years ago
Which of the following represents 3x - 5y + 10 = 0 written in slope-intercept form?
maksim [4K]

3x-5y+10=0

Add 5y to both sides

3x+10=5y

Divide both sides by 5

y=3/5x+2

8 0
3 years ago
The equation 24x2+25x−47 ax−2 =−8x−3− 53 ax−2 is true for all values of x≠ 2 a , where a is a constant.
katovenus [111]
The final answer is B.
8 0
3 years ago
Read 2 more answers
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