Question
Download Solution PDFSimplify (2x − 5y)2 + (5x + 2y)2 + (2x + 5y)(2x − 5y).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Simplify (2x - 5y)2 + (5x + 2y)2 + (2x + 5y)(2x - 5y)
Formula used:
(a - b)2 = a2 - 2ab + b2
(a + b)2 = a2 + 2ab + b2
(a + b)(a - b) = a2 - b2
Calculation:
(2x - 5y)2 + (5x + 2y)2 + (2x + 5y)(2x - 5y)
⇒ (2x)2 - 2(2x)(5y) + (5x)2 + 2(5x)(2y) + (2y)2 + (2x)2 - (5y)2
⇒ 4x2 - 20xy + 25y2 + 25x2 + 20xy + 4y2 + 4x2 - 25y2
⇒ 33x2 + 4y2
∴ The correct answer is option (2).
Last updated on Jul 22, 2025
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