Math, asked by sumits6307, 3 months ago


(9x + y)(9x + y)

Answers

Answered by MostlyMad
110

\mathfrak{\pmb{{\underline{To~solve}}:}}

  • (9x + y)(9x + y)

\mathfrak{\pmb{{\underline{Solution}}:}}

\sf{{\pmb{{\underline{Identity}}:}}(a+b)(a+b)=a^{2}+2ab+b^{2}}

 \sf \implies (9x + y)(9x + y) = (9x)^{2}  + 2(9x)(y) +  {(y)}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \sf  = 81 {x}^{2}  + 2(9xy) +  {y}^{2}  \\  \sf  =  \blue{ \underline{ \boxed{ \sf{ \pmb{ {81x}^{2}  + 18xy +  {y}^{2} }}}}}

\mathfrak{ \therefore{\pmb{{\underline{Required~answer}}:}}}

  •  \sf (9x + y)(9x + y) = \blue{ \underline{ \underline{ \sf{ \pmb{ {81x}^{2}  + 18xy +  {y}^{2} }}}}}

\mathfrak{\pmb{{\underline{More~information}}:}}

\sf{{\pmb{{\underline{Identities}}:}}}

  • \sf{(a+b)(a+b)={\underline{\underline{\pmb{a^{2}+2ab+b^{2}}}}}}

  • \sf{(a-b)(a-b)={\underline{\underline{\pmb{a^{2}-2ab+b^{2}}}}}}

  • \sf{(a+b)(a-b)={\underline{\underline{\pmb{a^{2}-b^{2}}}}}}

  • \sf{(x+a)(x+b)={\underline{\underline{\pmb{x^{2}+(a+b)x+ab}}}}}
Answered by ItzWhiteStorm
71

Question:

  • (9x + y)(9x + y)

Solution:

As we know that,

  • (a + b)² = a² + 2ab + b²

Given:

  • a = 9x
  • b = y

Putting the values on formula,

➨(9x + y)² = (9x)² + 2(9x)(y) + (y)²

(9x + y)² = 81x² + 18xy + y²

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