Question

simplify (x+2y)(-3x-y)-(x+y)(x-y)+(x-2y)(-2x+y)​

Answer 1

this is the answer

!!!!

Answer 2

Answer:

Required answer is (-6)x²-3y²-2xy

Step-by-step explanation:

Given,

$(x + 2y)( - 3x - y) - (x + y)(x - y) + (x - 2y)( - 2x + y)$

We want to simplify it.

By BODMAS rule we can solve this problem.

By BODMAS rule,

Bracket - Of - Division - Multiplication - Addition - Subtraction

First we are removing brackets,

$x \times ( - 3x) - x \times y + 2y \times ( - 3x) + 2y \times ( - y) - x \times x + x \times y - y \times x + y \times y - x \times 2x + x \times y + 2y \times 2x - 2y \times y$

$= - 3 {x}^{2} - xy - 6xy - 2 {y}^{2} - {x}^{2} + {y}^{2} - 2 {x}^{2} + xy + 4yx - 2 {y}^{2}$

=(-3-1-2)x²+(-2+1-2)y²+(-1-6+1+4)xy

=(-6)x²-3y²-2xy

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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

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

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