Question

Multiply (x 2 + 3x – 5) by (2x + 3)​

Answer 1

Now , let me tell you that you have two ways to solve such kind of question :-

• First Method

Multiply 2x with the whole equation and then multiply 3 with the whole equation and thereafter add there results .

Like ,

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

Now add both results,

$\sf2 {x}^{3} + 6x - 10x + 3 {x}^{2} + 9x - 15$

So we will get the answer,

$\color{red} \: {\underline{\boxed{\large{\rm{2 {x}^{3} + 9 {x}^{2} - x - 15}}}}}$

• Second Option

Now let solve this question by standard Method

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

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$2 {x}^{3} + 6 {x}^{2} - 10x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + 3 {x}^{2} + 9x - 15$

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$2x {}^{3} + 9x {}^{2} - x - 15$

Hopefully it will help you please mark it as brainliest !!

Answer 2

2x³ + 9x² - x - 15 is the correct answer.