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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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PLSSSSS SOMEONE ANSWER THIS QUESTION
liq [111]

Answer:

12πx⁴, 15x⁷, 16x⁹

Step-by-step explanation:

Volume of a cylinder: πr²h

Volume of a rectangular prism: whl

Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π

3x²·(2x)² = 3·2·2·x·x·x·x

= 12·x⁴

=12x⁴

Now, we just multiply that by π.

12x⁴·π = 12x⁴π

A monomial is a 1-term polynomial, so 12x⁴π is a monomial.

Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²

5x³·3x² = 5·3·x·x·x·x·x

= 15·x⁵

= 15x⁵

Now, we just multiply that by x².

15x⁵·x²

= 15·x·x·x·x·x·x·x

= 15·x⁷

=15x⁷

A monomial is a 1-term polynomial, so 15x⁷ is a monomial.

Same steps for the last shape, another rectangular prism:

2x²·2x³·4x⁴

2x²·2x³

= 2·2·x·x·x·x·x

= 4·x⁵

= 4x⁵

Now, we just multiply that by 4x⁴.

4x⁵·4x⁴

= 4·4·x·x·x·x·x·x·x·x·x·

= 16·x⁹

= 16x⁹

A monomial is a 1-term polynomial, so 16x⁹ is a monomial.

6 0
2 years ago
Help with question three please :)
Svetllana [295]

Answer:

i believe its a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A line passes through the points (4,-1) and (2.3). What is the slope of the line?
deff fn [24]

Answer:

-2

Step-by-step explanation:

i got it right

7 0
2 years ago
Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Vlada [557]

Answer:

I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)

5 0
3 years ago
Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va
dem82 [27]
(x² + 4x - 45)/(x² + 10x + 9) 
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45 
= (x² + 9x) - (5x + 45) 
= x(x + 9) - 5(x + 9) 
= (x + 9)(x - 5) 
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9 
= (x² + x) + (9x + 9) 
= x(x + 1) + 9(x + 1) 
= (x + 1)(x + 9) 
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9) 
= (x - 5)/(x + 1) 
<span>
Restrictions : x ≠ - 1, x = 5 </span>


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
7 0
4 years ago
Read 2 more answers
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