Question
Download Solution PDFWrite the expanded form of \((5a+4b+3c)^2.\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Expression: \( (5a + 4b + 3c)^2 \)
Formula used:
Expansion of \( (x + y + z)^2 \) is:
\( x^2 + y^2 + z^2 + 2xy + 2xz + 2yz \)
Calculation:
Now, apply the formula to \( (5a + 4b + 3c)^2 \):
⇒ \( (5a)^2 + (4b)^2 + (3c)^2 + 2(5a)(4b) + 2(5a)(3c) + 2(4b)(3c) \)
⇒ \( 25a^2 + 16b^2 + 9c^2 + 40ab + 30ac + 24bc \)
∴ Expanded form of \( (5a + 4b + 3c)^2 \) is:
25a² + 16b² + 9c² + 40ab + 30ac + 24bc
Last updated on Feb 8, 2025
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