Question

a)(3x+2). (5x-3)
b) (2y+3). (2x+3y)​

Answer 1

A)

$(3x + 2) \times (5x - 3) \\ 3x \times 5x - 3x \times 3 + 2 \times 5x - 2 \times 3 \\ 15 {x}^{2} - 9x + 10x - 6 \\ 15 {x}^{2} + x - 6$

B)

$(2y + 3) \times (2x + 3y) \\ 2y \times 2x + 2y \times 3y \times 2x + 3 \times 3y \\ 4xy + 6 {y}^{2} + 6x + 9y$

$\Large\mathscr{\red{Attard}}$

Answer 2

Resposta:

$\sf{segue \: abaixo \: a \: resposta}$

Explicação passo-a-passo:

a)

$\sf{(3x+2). (5x-3)}$

$\sf{3x.5x - 3x.3 + 2x5x - 2x3}$

$\sf{15 {x}^{2} - 3x.3 + 2x5x - 2x3 }$

$\sf{15 {x}^{2} - 9x + 2x5x - 2x3}$

$\sf{15 {x}^{2} - 9x + 10x - 2x3}$

$\sf{2x3 = 6}$

$\sf{15 {x}^{2} - 9x + 10x - 6 }$

$\boxed{\boxed{{\sf{15 {x}^{2} + x - 6 }}}}$

b)

$\sf{(2y+3). (2x+3y)}$

$\sf{2yx2x + 2yx3y + 3x2x + 3x3y}$

$\sf{4xy + 2yx3y + 3x2x + 3x3y}$

$\sf{4xy + 6y {}^{2} + 3x2x + 3x3y}$

$\sf{4xy + 6 {y}^{2} + 6x + 3x3y}$

$\boxed{\boxed{{\sf{4xy + 6 {y}^{2} + 6x + 9y }}}}$