Math, asked by rajudhande23, 8 days ago

find the value of (4x+5y)^2-(4x-5y)^2

Answers

Answered by bishnujashamishra33

1

Answer:

Just multiply it out:

(4x+5y)2 - (4x-5y)2

= 16x2 + 40xy + 25y2 - (16x2 - 40xy + 25y2)

= 80xy

You can also solve it using the difference of squares formula:

a2 - b2 = (a-b)(a+b)

Where a=4x+5y and b=4x-5y

(4x+5y-4x+5y)(4x+5y+4x-5y)

(10y)(8x) = 80xy

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