Multiply the following: (4 - y)(4+ y)

Mathematics

2 answers:

Serjik [45]3 years ago

4 0

Answer:

16 - y²

Step-by-step explanation:

(4 - y)(4 + y)

16 + 4y - 4y - y²

16 - y²

Yuki888 [10]3 years ago

4 0

Answer:

The answer is 16+4y-4y-y^2 or -y^2+16

Step-by-step explanation:

Hope this helps

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Use the diagram to find the value of "x" so that △AOC ≅ △ZFD by HL.

astra-53 [7]

Answer:

x= 19

Step-by-step explanation:

Is given that the <u>triangles are congruent</u> so the corresponding sides are congruent as well.

Also congruent sides are equal in measure so we use the given picture to write the equality.

2x -1 = 37, add 1 to both sides

2x = 38 , divide both sides by 2

x = 19

8 0

3 years ago

What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)? –2x + 5 2x – 5 –2x – 5 2x + 5

juin [17]

ANSWER

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = - 2x+5$

EXPLANATION

We have been given the quotient,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} }$
to simplify.

We need to rewrite the numerator as difference of two cubes.

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ {5}^{3} - ( {2x})^{3} }{ 25 + 10x + 4 {x}^{2} }$

We need to make use of the difference of cubes formula,

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

We now let,
$a = 5 \: and \: b = 2x$

Then the numerator becomes,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 5 (2x) + {(2x)}^{2}) }{ 25 + 10x + 4 {x}^{2} }$

This simplifies to,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 10x + 4 {x}^{2}) }{ 25 + 10x + 4 {x}^{2} }$

We cancel out common factors to obtain,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)}{ 1}$

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = 5 - 2x$