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levacccp [35]
1 year ago
15

Factorize: 1+4a+4a^2​

Mathematics
2 answers:
Colt1911 [192]1 year ago
6 0

Answer:

(2a +1)( 2a + 1)

Step-by-step explanation:

  • 1+4a+4a^2

  • =4a^2 +4a +1

  • =4a^2 +2a + 2a + 1

  • =2a(2a +1) +1( 2a + 1)

  • =(2a +1)( 2a + 1)
Licemer1 [7]1 year ago
3 0

Answer: (1+2a)^2 or (1+2a)(1+2a)

Step-by-step explanation:

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If a rectangle has an area of x^2+x-20 and a width of x-4, what is the length?
Mrac [35]

Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20.  Dividing the width (x - 4) into the area results in an expression for the length:

x - 4  /   x^2 + x - 20

Let's use synthetic division here.  It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4   /   1    1    -20

              4     20

    --------------------

         1     5     0

This synthetic division results in a remainder of 0.  This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor.  From the coefficients 1 and 5 we can construct the other factor:  (x - 5).  This (x - 5) represents the length of the rectangle.

4 0
2 years ago
In PQR, PQ = QR. If M < P = 42, find the measures of the other angles
mihalych1998 [28]

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Step-by-step explanation:

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3 years ago
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3 0
3 years ago
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Step-by-step explanation:

1. Since 39 is 3/5 of the club, divide by 3 to get 1/5 of the club

2. 1/5 of the club is 13 people

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4. The whole club is 65 people

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3 years ago
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