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Alenkasestr [34]
3 years ago
12

(b)

tle=" {4}{a}^{2} + {b}^{2} " alt=" {4}{a}^{2} + {b}^{2} " align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

 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 :  4  is the square of  2 

Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :   (2a + b)  •  (2a - b) 

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Combine like terms to create an equivalent expression 3.4 - 2.8d + 2.8d - 1.3
zalisa [80]

Answer:

3.4 - 2.8d + 2.8d - 1.3 = 2.1

Step-by-step explanation:

The given expression is 3.4 -2.8d + 2.8d -1.3

Let's see the definition of like terms.

Like terms are the terms having the same variable and the same exponents.

Examples: -3xy, 2xy  and 4y, 5y and -3, 2.

Now let's identify the like terms from the given expression.

3.4 -2.8d + 2.8d -1.3

Here the like terms are -2.8d, +2.8d and 3.4, -1.3

3.4 -2.8d + 2.8d -1.3

= -2.8d + 2.8d + 3.4 - 1.3            [-2.8d + 2.8d = 0] and 3.4 -1.3 = 2.1

= 0 + 2.1

=2.1

The answer is 2.1

6 0
3 years ago
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The sum of the areas of two circles is 80 pi
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The area of a circle is A = πr^2. We let A1 And A2 the areas of the circles and r1 and r2 the radius of each, respectivley.

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From the statement, we know that r2=2(r1).

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</span>We can cancel π, we will have

5 x (r1)^2 = 80
Thus,

r1 = 4 and r2 = 8
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You just have to multiply 2 by 99, so the answer is 198.
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