Find the product 24 x21-2 x and evaluate its value for x-3

To find the product, we will use distributive law as follows: 24x21 2x=24x2 #215;1 24x2 #215;2x=24x2 48x1+2=24x2 48x3 Substituting nbsp;x nbsp;= 3 in ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Properties of Multiplication of Integers

Find the prod...

Question

Find the product 24x² (1 − 2x) and evaluate its value for x = 3.

Open in App

Solution

To find the product, we will use distributive law as follows:

$24 x^{2} (1 - 2 x) = 24 x^{2} \times 1 - 24 x^{2} \times 2 x = 24 x^{2} - 48 x^{1 + 2} = 24 x^{2} - 48 x^{3}$

Substituting x = 3 in the result, we get:

$24 x^{2} - 48 x^{3} = 24 {(3)}^{2} - 48 {(3)}^{3} = 24 \times 9 - 48 \times 27 = 216 - 1296 = - 1080$

Thus, the product is $(24 x^{2} - 48 x^{3}) and its value fo r x = 3 is (- 1080)$ .

Suggest Corrections

Similar questions

Q. Find the product 24x²(1−2x) and evaluate it for x = 2.

Q. Find the product

24 x^{2} (1 - 2 x)

and evaluate if for

x = 2

Q. Evaluate the product of

(2 x + 1) (2 x - 3)

Q. Evaluate the product of

(2 x - 3 y)

and

(x - y)

Q. Find the product −3y(xy + y²) and find its value for x = 4 and y = 5.

Join BYJU'S Learning Program

Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.

To find the product, we will use distributive law as follows: 24x21-2x=24x2×1-24x2×2x=24x2-48x1+2=24x2-48x3 Substituting x = 3 in the result, we get: 24x2-48x3=2432-4833=24×9-48×27=216-1296=-1080 Thus, the product is (24x2-48x3) and its value for x = 3 is (-1080).

Find the product 24x² (1 − 2x) and evaluate its value for x = 3.