Expand Using Sum/Difference Formulas (2x+5)(2x-5)

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Trigonometry

$(2 x + 5) (2 x - 5)$

Expand $(2 x + 5) (2 x - 5)$ using the FOIL Method.

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Apply the distributive property.

$2 x (2 x - 5) + 5 (2 x - 5)$

Apply the distributive property.

$2 x (2 x) + 2 x \cdot - 5 + 5 (2 x - 5)$

Apply the distributive property.

$2 x (2 x) + 2 x \cdot - 5 + 5 (2 x) + 5 \cdot - 5$

Simplify and combine like terms.

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Simplify each term.

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Rewrite using the commutative property of multiplication.

$2 \cdot 2 x \cdot x + 2 x \cdot - 5 + 5 (2 x) + 5 \cdot - 5$

Multiply $x$ by $x$ by adding the exponents.

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Move $x$ .

$2 \cdot 2 (x \cdot x) + 2 x \cdot - 5 + 5 (2 x) + 5 \cdot - 5$

Multiply $x$ by $x$ .

$2 \cdot 2 x^{2} + 2 x \cdot - 5 + 5 (2 x) + 5 \cdot - 5$

Multiply $2$ by $2$ .

$4 x^{2} + 2 x \cdot - 5 + 5 (2 x) + 5 \cdot - 5$

Multiply $- 5$ by $2$ .

$4 x^{2} - 10 x + 5 (2 x) + 5 \cdot - 5$

Multiply $2$ by $5$ .

$4 x^{2} - 10 x + 10 x + 5 \cdot - 5$

Multiply $5$ by $- 5$ .

$4 x^{2} - 10 x + 10 x - 25$

Add $- 10 x$ and $10 x$ .

$4 x^{2} + 0 - 25$

Add $4 x^{2}$ and $0$ .

$4 x^{2} - 25$

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Name

Name	one billion seven hundred eighty-five million two hundred forty-two thousand six hundred sixty-three

Interesting facts

1785242663 has 8 divisors, whose sum is 1843359360
The reverse of 1785242663 is 3662425871
Previous prime number is 5009

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 44
Digital Root 8

Name

Name	seven hundred fifty-six million one hundred seventy-nine thousand eight hundred forty-three

Interesting facts

756179843 has 8 divisors, whose sum is 785769600
The reverse of 756179843 is 348971657
Previous prime number is 223

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 50
Digital Root 5

Name

Name	one billion six hundred ninety-six million four hundred seventy-two thousand two hundred seventy-five

Interesting facts

1696472275 has 8 divisors, whose sum is 1707044976
The reverse of 1696472275 is 5722746961
Previous prime number is 181

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 49
Digital Root 4

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