Question

find the product : (2x+3)(3x-2)​

Answer 1

Step-by-step explanation:

6x+-4x× 9x-6

18x -12 ans

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Answer 2

Answer:

The product : (2x+3)(3x-2) is 6x²+5x-6.

Step-by-step explanation:

Given,

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

We are multiplying (2x+3) and (3x-2),

$= 2x \times 3x - 2x \times 2 + 3 \times 3x - 3 \times 2 \\ = 6 {x}^{2} - 4x + 9x - 6 \\ = 6 {x}^{2} + 5x - 6$

This is a problem of product of Algebra.

Some important Algebra's formulas:

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

Two more important Algebra problem:

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

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

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