Question

Multiply (x 2 + 3x – 5) by (2x + 3)​

Answer 1

Answer:

$\frac{8}{3}$

Step-by-step explanation:

$(2x + 3) = (2x + 3x - 5) \\ (2x + 3) = (5x - 5) \\ 2x - 5x = - 5 - 3 \\ - 3x = - 8 \\ x = \frac{ - 8}{ - 3} \\ x = \frac{8}{3}$

Answer 2

As per data given in the question,

We have to determine the value when $(x^2+3 x-5)$ is multiplied to $(2x+3)$.

So, for finding the value,

We will use the identity:-

$(a+b)(c+d) = ac+ad+bc+bd$

From the above given identity,

We will get,

$\begin{array}{l}(x^2+3 x-5)(2x+3) \\=(x ^2+3 x+-5)(2 x+3) \\=(x^2)(2 x)+(x^2)(3)+(3 x)(2 x)+(3 x)(3)+(-5)(2 x)+(-5)(3) \\=2 x^3+3x^2+6x^2+9 x-10 x-15 \\=2 x^3+9 x^2-x-15\end{array}$