Question

9 +19 + 29 + …. + 99 = …… .

(a) 460 (b) 450 (c) 540 (d) 455​

Answer 1

Answer:

540

Step-by-step explanation:

9 +19 + 29 + …. + 99 = 540

Answer 2

Answer:

Required value is 540.

So, option C is the correct answer.

Step-by-step explanation:

Given, $9 + 19 + 29 + ..... + 99$

Here we want to find value of this.

Now,

$9 + 19 + 29 + ....99$

$= 9 + 19 + 29 + 39 + 49 + 59 + 69 + 79 + 89 + 99\\=540$

This is a problem of Algebra.

Some important Algebra formulas:

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \\ {(x + y)}^{3} = {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \\ {x}^{3} + {y}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ {x}^{3} - {y}^{3} = {(x - y)}^{3} + 3xy(x - y) \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ {x}^{2} - {y}^{2} = {(x + y)}^{2} - 2xy \\ {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ {x}^{3} + {y}^{3} = (x - + y)( {x}^{2} - xy + {y}^{2} )$

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549

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