Question

11.Simplify: (2x + 3) (3x - 2) (x - 5)​

Answer 1

Answer:

Hope this answer will be helpful for you.❤❤❤❤

Answer 2

Answer:

$6 {x}^{2} - 25 {x}^{2} - 31x + 30$

Step-by-step explanation:

$(2x + 3)(3 \times - 2)(x - 5)$

Apply the Distributive Property

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⬇$

$(2 \times (3 \times - 2) + 3(3x - 2)(x - 5)$

$(2x \times 3x - 2x \times 2 \ + 3(3x - 2))(x5)$

$(2x \times 3x - 2x \times 2 + 3 \times 3x - 3 \times 2)(x - 5)$

Multiply the monomial

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⬇$

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

$(6 {x}^{2} - 4x + 3 \times 3x - 3 \times 2)( x - 5)$

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

Reorder and gather like terms

$(6 {x}^{2} + ( - 4x + 9x) - 6)(x - 5)$

Collect coefficients of like terms

$(6 {x}^{2} + ( - 4 + 9)x \times - 6)(x - 5)$

Calculate the sum or difference

$(6 {x}^{2} + 5x - 6)(x - 5)$

Apply the Distributive Property

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⬇$

$(6 {x}^{2} (x - 5) + 5x(x - 5) - 6(x - 5)$

$6 {x}^{2} \times x - 6 {x}^{2} \times 5 + 5x( x - 5) - 6(x - 5)$

$6 {x}^{2} \times x - 6 {x}^{2} \times 5 + 5x \times x - 5x \times 5 - 6(x - 5)$

$6 {x}^{2} \times x - 6 {x}^{2} \times 5 + 5x \times x - 5x \times 5 - 6x - 6 \times ( - 5)$

Determine the sign for multiplication or division

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⬇$

$6 {x}^{2} \times x - 6 {x}^{2} \times 5 + 5x \times x - 5x \times 5 - 6x + 6 \times 5$

Multiply the monomial

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⬇$

$6 {x}^{2} - 6 {x}^{2} \times 5 + 5x \times x - 5x \times 5 - 6x + 6 \times 5$

$6 {x}^{3} - 30 {x}^{2} + 5x \times x - 5x \times 5 - 6x + 6 \times 5$

$6 {x}^{3} - 30 {x}^{2} + 5 {x}^{2} - 5x \times 5 - 6x + 6 \times 5$

$6 {x}^{3} - 30 {x}^{2} + 5 {x}^{2} - 25x - 6x + 6 \times 5$

Calculate the product or quotient

$6 {x}^{3} - 30 {x}^{2} + 5 {x}^{2} - 25x - 6x + 30$

Reorder and gather like terms

$6 {x}^{3} + ( - 30 {x}^{2} + 5 {x}^{2} ) + ( - 25x - 6x) + 30$

$6 {x}^{3} + ( - 30 + 5) {x}^{2} + ( - 25 - 6) \times x \times 20$

Final answer:

$6 {x}^{2} - 25 {x}^{2} - 31x + 30$