Math, asked by sriyogeshkpm, 2 months ago

(2n-1) (2n+3) algebraic identities​

Answers

Answered by annbupalaniappan
1

Answer:

4n² +2n -3 it is the answer for questions

Answered by MrHyper
507

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

  • \sf{(2n-1)(2n+3)}

\rm{\pmb{{\underline{Solution}}:}}

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

 \sf (2n - 1)(2n + 3) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \sf \longmapsto  {(2n)}^{2}  + ( - 1 + 3)2n + ( - 1 \times 3) \\  \sf \longmapsto 4 {n}^{2}  + (2)2n + ( - 3)  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \sf \longmapsto  \underline{ \boxed{ \sf{ \pmb{4 {n}^{2}  + 4n - 3}}}} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

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

  •  \sf (2n - 1)(2n + 3) = \underline{ \underline{ \sf{ \pmb{4 {n}^{2}  + 4n - 3}}}}
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