Find the product of (2x − 5y)^2.

4x^2 + 20xy + 25y^2

4x^2 − 20xy + 25y^2

4x^2 − 25y^2

4x^2 + 25y^2

@eSpeX

Question

Find the product of (2x − 5y)^2.

4x^2 + 20xy + 25y^2

4x^2 − 20xy + 25y^2

4x^2 − 25y^2

4x^2 + 25y^2 

@eSpeX

campbell_st · Answer

this is a perfect square 

so the expansion will follow the one below

$$(a - b)^2 = a^2 - 2ab + b^2$$

anonymous · Answer

How would I set that up?

precal · Answer

just expand it out, (using FOIL)

precal · Answer

but if you want to use the formula  a is 2x  and b is 5y

espex · Answer

All you need to do is plug your 'a' and 'b' terms into the template @campbell_st gave you.

campbell_st · Answer

try this method 

$$(2x - 5y)^2 = (2x -5y)(2x-5y)$$

now this can be written as

$$2x(2x - 5y) - 5y(2x - 5y)$$

just distribute

anonymous · Answer

anonymous · Answer

@radar ?

whpalmer4 · Answer

yes, that's correct.

anonymous · Answer

Thanks!

whpalmer4 · Answer

it all boils down to multiplying every piece of the first thing with every piece of the second thing, then adding the pieces together.