Simplify the following expression: (2z - 5y)2 + (5z + 2y)2 - 25z2
29y2 + 4z2
The correct answer is Option 2 i.e. 29y2 + 4z2.
(2z - 5y)2 + (5z + 2y)2 - 25z2
⇒ (2z)2 + (5y)2 - 2 × 2z × 5y + (5z)2 + (2y)2 + 2 × 5z × 2y - 25z2
⇒ 4z2 + 25y2 - 20yz + 25z2 + 4y2 + 20yz - 25z2
⇒ 29z2 + 25y2 - 25z2 + 4y2
⇒ 29y2 + 4z2
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