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Otrada [13]
4 years ago
10

Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the

polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Response area+4x−2=(2x+1)(2x−1) Response area=(2x+1)(2x−1) Response area=(2x+1)(2x−1)

Mathematics
1 answer:
Alex_Xolod [135]4 years ago
6 0

Answer:

Step-by-step explanation:

Given expression is,

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]

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mafiozo [28]

Answer:

Step-by-step explanation:

a.   16b^2c^12-0.25 can be rewritten as follows because it is the difference of two squares:

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b.   81x^6y^2-0.36a^2

is the difference of two squares, just like (a) (above); its factors are:

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3 years ago
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morpeh [17]

Because the discriminant is less than zero, there are no real solutions in the equation.

4 0
4 years ago
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Mom is 60 years old and daughter is half mom's age. How old was daughter when mom was 4 times her age?
rewona [7]

Answer:

  10 years old

Step-by-step explanation:

The difference in ages is 60 -30 = 30 years. When mom was 4 times daughter's age, the difference in their ages was 3 times the daughter's age.

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4 0
4 years ago
Rationalization<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B%20%5Csqrt%7B3%7D%20%7D%20" id="TexFormula1" title=" \f
rosijanka [135]

Answer:

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To rationalize, we multiply the denominator and numerator by the surd at the base

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