Question

Find the product (x - 10)(4x + 3)​

Answer 1

From the given question the correct answer is :

the product of (x - 10)(4x + 3)​ is $4x^{2} -37x-30$

Given:

(x - 10)(4x + 3)​

To find:

product of given expression

Solution:

we have a expression

(x - 10)(4x + 3)​

now we have to expand the expression

First, we will multiply  the term of the first bracket to the term of the second bracket

so,

$=4x^{2} +3x-40x-30$

$=4x^{2} -37x-30$

Now, we can't simplify the expression

hence, the product of (x - 10)(4x + 3)​ is  $4x^{2} -37x-30$

Answer 2

As per data given in the question,

We have to determine the value when (x - 10) is multiplied to (4x+3)

So, for multiplying the given equation,

We will use the identity like,

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

Using the above identity,

We will get,

$(x - 10)(4x + 3)​\\(x\times 4x) +(x\times 3) -(10 \times 4x) -10 \times 3\\4x^2+3x-40x-30\\4x^2-37x-30$

Hence, we will get, $4x^2-37x-30$ when (x - 10) is multiplied to (4x+3).