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vivado [14]
3 years ago
8

What expression is equivalent to 9x^2-16?

Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

(3x + 4) • (3x - 4) hope we can be friends can i please get brainliest

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 32x2 -  16

Step  2  :

Trying to factor as a Difference of Squares :

2.1      Factoring:  9x2-16  

Theory : 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 :  9  is the square of  3  

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Factorization is :       (3x + 4)  •  (3x - 4)

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3 years ago
A tangerine juice container is in the shape of a rectangular prism. The width is 26
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Answer:

V = 26d^2 + 624d

Step-by-step explanation:

Volume = Width x Depth x Height

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Now distribute 26

V = 26d(d+24)

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2 years ago
9. Solve for x,<br>9x - 25<br>5x + 7<br>N​
kati45 [8]

Answer:

x = 8

Step-by-step explanation:

Simplifying

9x + -25 = 5x + 7

Reorder the terms:

-25 + 9x = 5x + 7

Reorder the terms:

-25 + 9x = 7 + 5x

Solving

-25 + 9x = 7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-25 + 9x + -5x = 7 + 5x + -5x

Combine like terms: 9x + -5x = 4x

-25 + 4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0

-25 + 4x = 7 + 0

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Add '25' to each side of the equation.

-25 + 25 + 4x = 7 + 25

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Combine like terms: 7 + 25 = 32

4x = 32

Divide each side by '4'.

x = 8

Simplifying

x = 8

7 0
3 years ago
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