Maharashtra State BoardSSC (English Medium) 8th Standard
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Expand. (3x +4y − 5p)2 - Mathematics

Sum

Expand.

(3x +4y − 5p)2

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Solution

It is known that,

\[\left( a + b + c \right)^2  =  a^2  +  b^2  +  c^2  + 2ab + 2bc + 2ca\]

\[\   \left( 3x + 4y - 5p \right)^2 \] 

\[ =  \left( 3x \right)^2  +  \left( 4y \right)^2  +  \left( - 5p \right)^2  + 2 \times 3x \times 4y + 2 \times 4y \times \left( - 5p \right) + 2 \times \left( - 5p \right) \times 3x\] \[ = 9 x^2  + 16 y^2  + 25 p^2  + 24xy - 40yp - 30px\]

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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 5 Expansion formulae
Practice Set 5.4 | Q 1.3 | Page 28
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