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nalin [4]
3 years ago
13

Factor and simplify: 4a^2c^2-(a^2-b^2+c^2)^2

Mathematics
1 answer:
ipn [44]3 years ago
5 0
8<span>a<span><span>​^2</span><span>​​</span></span></span><span>c<span><span>​^2</span><span>​​</span></span></span>−<span><span>(<span>a<span><span>​^2</span><span>​​</span></span></span>−<span>b<span><span>​^2</span><span>​​</span></span></span>+<span>c<span><span>​^2</span><span>​​</span></span></span>)</span><span><span>​^2</span><span>​​</span></span></span>
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Which of the following is an extraneous solution of sqrt 4x + 41 = x+5
stiv31 [10]

Answer:

x=-8

Step-by-step explanation:

\sqrt{4x+41}=x+5

on squaring both sides

4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0

either x-2=0  or  x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

\sqrt{4\times 2+41}=2+5

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

\sqrt{4\times (-8)+41}=-8+5

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

3 0
3 years ago
Read 2 more answers
What is the percent increase when 7,200 increases by 1,800?
Nuetrik [128]

Answer:

B.

Step-by-step explanation:

The percent increase when 7200 increases by 1800 is 25 %

8 0
2 years ago
Read 2 more answers
PLEASE....I need help on this!
Kaylis [27]

15,567 because yeah i know math

6 0
3 years ago
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared
tresset_1 [31]

Answer:

7y^2 - y^2z - 10yz-5

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

A. y squared minus y squared z minus 10 y z minus 5

B. y squared minus y squared z minus 5 y z minus 5

C. 7 y squared minus y squared z minus 10 y z minus 5

D. 7 y squared minus y squared z minus 2 y z minus 5

Given:

3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z

Collect like terms in the expression

3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2

Simplify

7y^2 - 10yz - y^2z - 5

Rewritten as

7y^2 - y^2z - 10yz-5

Option C. 7 y squared minus y squared z minus 10 y z minus 5

Is the answer

4 0
3 years ago
A square has a maximum
Stolb23 [73]

Answer:

3

Step-by-step explanation:

Square: 4 equal sides

If x is one of the sides:

Perimeter: 4x

12: 4x

x=3

7 0
3 years ago
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