Question

6. Find the following products and verify the results for x = 1 and y = 2.

(11)+7x²) x (x² + xy)

​Write the step

Answer 1

Given :

An expression $(11+7x^{2} )x(x^{2} +xy)$ where x = 1 , y = 2

To find :

The product of $(11+7x^{2} )x(x^{2} +xy)$

Step-by-step explanation:

• The product of this equation can be found by these following steps.

• Remove the brackets.

       $(11+7x^{2} )(x^{3} +x^{2} y)$

• Product can be found.

        $11x^{3} +11x^{2} y + 7x^{5} +7x^{4} y$

• Substitute the value of x and y.

        $11(1)^{3} +11(1)^{2} (2)+7(1)^{5}+7(1)^{4} (2)$

• Remove the brackets.

        11(1)+11(2)+7+7(2)

• Add the values

        11+22+7+14

• The product of $(11+7x^{2} )x(x^{2} +xy)$ is 54

Final answer :

The product of the expression $(11+7x^{2} )x(x^{2} +xy)$ is 54