Solve 2025の2乗-2024の2乗 2023の2乗-2022の2乗

Question

Simplify the expression

6 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2}

Evaluate

2025 n o \times 2 C h e n g - 2024 n o \times 2 C h e n g \times 2023 n o \times 2 C h e n g - 2022 n o \times 2 C h e n g

Rewrite the expression in exponential form

2025 n o \times 2 C h e n g - 2024 n^{4} o \times 2 C h e g \times 2023 o \times 2 C h e g - 2022 n o \times 2 C h e n g

Multiply

More Steps

Multiply the terms

2025 n o \times 2 C h e n g

Multiply the terms

4050 n o C h e n g

Multiply the terms

4050 n^{2} o C h e g

Multiply the numbers

4050 e n^{2} o C h g

4050 e n^{2} o C h g - 2024 n^{4} o \times 2 C h e g \times 2023 o \times 2 C h e g - 2022 n o \times 2 C h e n g

Multiply

More Steps

Multiply the terms

- 2024 n^{4} o \times 2 C h e g \times 2023 o \times 2 C h e g

Multiply the terms

More Steps

Evaluate

2024 \times 2 \times 2023 \times 2

Multiply the terms

4048 \times 2023 \times 2

Multiply the terms

8189104 \times 2

Multiply the numbers

16378208

- 16378208 n^{4} o C h e g o C h e g

Multiply the terms

- 16378208 n^{4} o^{2} C h e g C h e g

Multiply the terms

- 16378208 n^{4} o^{2} C^{2} h e g h e g

Multiply the terms

- 16378208 n^{4} o^{2} C^{2} h^{2} e g e g

Multiply the terms

More Steps

Evaluate

e \times e

Multiply the terms with the same base by adding their exponents

e^{1 + 1}

Add the numbers

e^{2}

- 16378208 n^{4} o^{2} C^{2} h^{2} e^{2} g \times g

Multiply the terms

- 16378208 n^{4} o^{2} C^{2} h^{2} e^{2} g^{2}

Multiply the numbers

- 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2}

4050 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2} - 2022 n o \times 2 C h e n g

Multiply

More Steps

Multiply the terms

- 2022 n o \times 2 C h e n g

Multiply the terms

- 4044 n o C h e n g

Multiply the terms

- 4044 n^{2} o C h e g

Multiply the numbers

- 4044 e n^{2} o C h g

4050 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2} - 4044 e n^{2} o C h g

Solution

More Steps

Evaluate

4050 e n^{2} o C h g - 4044 e n^{2} o C h g

Collect like terms by calculating the sum or difference of their coefficients

(4050 - 4044) e n^{2} o C h g

Subtract the numbers

6 e n^{2} o C h g

6 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2}

Show Solution

Factor the expression

n^{2} o C h g (6 e - 16378208 e^{2} n^{2} o C h g)

Evaluate

2025 n o \times 2 C h e n g - 2024 n o \times 2 C h e n g \times 2023 n o \times 2 C h e n g - 2022 n o \times 2 C h e n g

Multiply

More Steps

Multiply the terms

2025 n o \times 2 C h e n g

Multiply the terms

4050 n o C h e n g

Multiply the terms

4050 n^{2} o C h e g

Multiply the numbers

4050 e n^{2} o C h g

4050 e n^{2} o C h g - 2024 n o \times 2 C h e n g \times 2023 n o \times 2 C h e n g - 2022 n o \times 2 C h e n g

Multiply

More Steps

Multiply the terms

2024 n o \times 2 C h e n g \times 2023 n o \times 2 C h e n g

Multiply the terms

More Steps

Evaluate

2024 \times 2 \times 2023 \times 2

Multiply the terms

4048 \times 2023 \times 2

Multiply the terms

8189104 \times 2

Multiply the numbers

16378208

16378208 n o C h e n g n o C h e n g

Multiply the terms with the same base by adding their exponents

16378208 n^{1 + 1 + 1 + 1} o C h e g o C h e g

Add the numbers

16378208 n^{4} o C h e g o C h e g

Multiply the terms

16378208 n^{4} o^{2} C h e g C h e g

Multiply the terms

16378208 n^{4} o^{2} C^{2} h e g h e g

Multiply the terms

16378208 n^{4} o^{2} C^{2} h^{2} e g e g

Multiply the terms

More Steps

Evaluate

e \times e

Multiply the terms with the same base by adding their exponents

e^{1 + 1}

Add the numbers

e^{2}

16378208 n^{4} o^{2} C^{2} h^{2} e^{2} g \times g

Multiply the terms

16378208 n^{4} o^{2} C^{2} h^{2} e^{2} g^{2}

Multiply the numbers

16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2}

4050 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2} - 2022 n o \times 2 C h e n g

Multiply

More Steps

Multiply the terms

2022 n o \times 2 C h e n g

Multiply the terms

4044 n o C h e n g

Multiply the terms

4044 n^{2} o C h e g

Multiply the numbers

4044 e n^{2} o C h g

4050 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2} - 4044 e n^{2} o C h g

Subtract the terms

More Steps

Evaluate

4050 e n^{2} o C h g - 4044 e n^{2} o C h g

Collect like terms by calculating the sum or difference of their coefficients

(4050 - 4044) e n^{2} o C h g

Subtract the numbers

6 e n^{2} o C h g

6 e n^{2} o C h g - 16378208 e^{2} n^{4} o^{2} C^{2} h^{2} g^{2}

Rewrite the expression

n^{2} o C h g \times 6 e - n^{2} o C h g \times 16378208 e^{2} n^{2} o C h g

Solution

n^{2} o C h g (6 e - 16378208 e^{2} n^{2} o C h g)

Show Solution