Simplify: (2.5x - 5y) (2.5x + 5y + 3)- 8.5x + 15y
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Step-by-step explanation:
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Answer: 6.25x²-25y²-x
Step-by-step explanation:
Given,
(2.5x-5y)(2.5x+5y+3)-8.5x+15y
[Multiply the terms within brackets]
2.5x(2.5x+5y+3) -5y(2.5x+5y+3)-8.5x+15y
→6.25x²+12.5xy+7.5x-12.5xy-25y²-15y-8.5x+15y
→6.25x²+7.5x-25y²-8.5x
[Note: Elimination of two pairs of terms(i.e. (+12.5xy & -12.5xy) and (-15y & +15y) {Reason:- These terms have opposite signs} in the second step]
→6.25x²-25y²-(8.5-7.5)x
→6.25x²-25y²-x
Hope it's helpful...
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