Math, asked by paras688, 10 months ago

(x+5) (x+6) (x+7) kindly tell me plzzzzzzzzzzzzz​

Answers

Answered by Anonymous
11

\bigstar Question:

Find the product of :

  • (x+5) (x+6) (x+7)

\bigstar Given:

  • (x+5) (x+6) (x+7)

\bigstarTo find:

The product of:

  • (x+5) (x+6) (x+7)

\bigstar Solution:

(x+5) (x+6) (x+7)

 = [(x)(x)   + (x)(6)  + (x)(5) + (6)(5) ](x + 7) \\

= [ {x}^{2}  + 6x + 5x + 30](x + 7)

= [ {x}^{2}  + 11 x + 30](x + 7)

 = [( {x}^{2})(x) + ( {x}^{2}  )(7) + 11x(x) + (11x) \times 7 + 30(x) + (30)(7)]

 = ( {x}^{3}  +  {7x}^{2} +  {11x}^{2}  + 77x + 30x + 210 )

 =  {x}^{3}  +  {18x}^{2}  + 107x + 210

\bigstarAnswer:

Therefore, the answer is :

 {x}^{3}  +  {18x}^{2}  + 107x + 210

Answered by ahanatarafder06
6

Answer:

(x + 5)(x + 6)(x + 7)

 =( {x}^{2}  + 5x + 6x + 30)(x + 7)

 =(  {x}^{2}  + 11x + 30)(x +7 )

 =  {x}^{3}  + 11 {x}^{2}  + 30x + 7 {x}^{2}  + 77x + 210

 =  {x}^{3}  + 18 {x}^{2}  + 107x + 210

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