Math, asked by udaymaan01, 11 hours ago

pls answer me quick



expand (5x-6y+3z)^2

Answers

Answered by 11904indresh
1

Answer:

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Step-by-step explanation:

(5x + 2y + 3z)2

The identity is

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx

∴ (5x + 2y + 3z)2

= (5x)2 + (2y)2 + (3z)2 + 2(5x)(2y) + 2(2y)(3z) + 2(3z)(5x)

= 25x2 + 4y2 + 9z2 + 20xy + 12yz + 30zx

Answered by bikshampuram1988
0

Step-by-step explanation:

⟹Given:-

  • (5x-6y+3z)²

→To find:-

  • expand the equation

➡ ⟹

\begin{gathered}\boxed{ \rm{ \:  \pink{⟹using \:( a - b + c ) {}^{2} \: formula}}}\\ \end{gathered}  \\  ⟹ {(5x - 6y + 3z)}^{2}  \\ ⟹(5x) {}^{2}   +  ( 6y)^{2}  +  {(3z)}^{2} </h3><p> - 2(5x)(6y) - 2(6y)(3z) + 2(3z)(5x) \\ ⟹25 {x}^{2}  + 36 {y}^{2}  + 9 {z}^{2}</p><p> - 60xy - 36y z +30 zx \\  \rule{290pt}{1pt} \\  \begin{gathered}\boxed{ \rm{ \:  \green{⟹thus \: the \: answer \: is \: ⟹25 {x}^{2}  + 36 {y}^{2}  + 9 {z}^{2} - 60xy - 36y z +30 zx ..}}}\\ \end{gathered}

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