Knowee
Questions
Features
Study Tools

Expand and simplify this expression: −5𝑥(5𝑥−5𝑦)−5x(5x−5y)

Question

Expand and simplify this expression: −5𝑥(5𝑥−5𝑦)−5x(5x−5y)

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

First, distribute the -5x across each term in the first parenthesis:

-5x * 5x = -25x^2 -5x * -5y = 25xy

So, -5x(5x-5y) simplifies to -25x^2 + 25xy.

Next, distribute the -5x across each term in the second parenthesis:

-5x * 5x = -25x^2 -5x * -5y = 25xy

So, -5x(5x-5y) simplifies to -25x^2 + 25xy.

Finally, add the two simplified expressions together:

(-25x^2 + 25xy) + (-25x^2 + 25xy) = -50x^2 + 50xy

So, the expression -5x(5x-5y) - 5x(5x-5y) expands and simplifies to -50x^2 + 50xy.

This problem has been solved

Solution 2

First, distribute -5x across the terms in the parentheses:

-5x * 5x = -25x^2 -5x * -5y = 25xy

So, -5x(5x-5y) simplifies to -25x^2 + 25xy.

Now, do the same for the second part of the expression:

-5x * 5x = -25x^2 -5x * -5y = 25xy

So, -5x(5x-5y) simplifies to -25x^2 + 25xy.

Finally, add the two simplified expressions together:

(-25x^2 + 25xy) + (-25x^2 + 25xy) = -50x^2 + 50xy

So, the expression -5x(5x-5y) - 5x(5x-5y) expands and simplifies to -50x^2 + 50xy.

This problem has been solved

Solution 3

First, distribute -5x across the terms in the parentheses:

-5x * 5x = -25x^2 -5x * -5y = 25xy

So, -5x(5x-5y) simplifies to -25x^2 + 25xy.

Now, do the same for the second part of the expression:

-5x * 5x = -25x^2 -5x * -5y = 25xy

So, -5x(5x-5y) simplifies to -25x^2 + 25xy.

Finally, add the two simplified expressions together:

(-25x^2 + 25xy) + (-25x^2 + 25xy) = -50x^2 + 50xy

So, the expression -5x(5x-5y) - 5x(5x-5y) expands and simplifies to -50x^2 + 50xy.

This problem has been solved

Similar Questions

Instructions: Simplify the polynomial expression.(5−5x2−x)−(6x−4x2−3)(5−5𝑥2−𝑥)−(6𝑥−4𝑥2−3)Answer:

Simplify (2x – 5y)3 – (2x + 5y)3.

When 𝑓(𝑥) = 3𝑥 − 5 and 𝑔(𝑥) = 2𝑥2 − 5 , find 𝑓(𝑔(𝑥))

Expand and simplify 𝑦(4𝑦+3)+4(2𝑦+5)y(4y+3)+4(2y+5)

∫tan(5x)dx

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.