Question

Multiply : ( 5 + 3y -2x ) and ( 2 + 3x )​

Answer 1

Answer:

(2+3x) (5+3y-2x)

10+6y-4x+15x+9xy-6x²

10+6y+11x+9xy-6x²

Answer 2

Answer:

Required answer is $10 + 11x + 6y + 9xy - 6 {x}^{2}$

Step-by-step explanation:

Given two terms are (5+3y-2x) and (2+3x)

We want to multiply it.

So,

$(5 + 3y - 2x) \times (2 + 3x) \\ = 10 + 15x + 6y + 9xy - 4x - 6 {x}^{2} \\ = 10 + 11x + 6y + 9xy - 6 {x}^{2}$

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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