Question

(vii) (7x2 – 11x + 10) (x3 – x2) find the product​

Answer 1

SOLUTION

TO DETERMINE

The product

$\sf{(7 {x}^{2} - 11x + 10)( {x}^{3} - {x}^{2} )}$

EVALUATION

The required product

$\sf{ = (7 {x}^{2} - 11x + 10)( {x}^{3} - {x}^{2} )}$

$\sf{ = 7 {x}^{2} ( {x}^{3} - {x}^{2} ) - 11x ( {x}^{3} - {x}^{2} )+ 10( {x}^{3} - {x}^{2} )}$

$\sf{ = 7 {x}^{5} - 7 {x}^{4} - 11 {x}^{4} + 11 {x}^{3} + 10 {x}^{3} - 10 {x}^{2} }$

$\sf{ = 7 {x}^{5} - 18 {x}^{4} + 21 {x}^{3} - 10 {x}^{2} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. divide : (4x²- 100) ÷ 6(x+5)

https://brainly.in/question/15559404

2. to verify algebraic identity

a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280

Answer 2

Step-by-step explanation:

SOLUTION

TO DETERMINE

The product

\sf{(7 {x}^{2} - 11x + 10)( {x}^{3} - {x}^{2} )}(7x

2

−11x+10)(x

3

−x

2

)

EVALUATION

The required product

\sf{ = (7 {x}^{2} - 11x + 10)( {x}^{3} - {x}^{2} )}=(7x

2

−11x+10)(x

3

−x

2

)

\sf{ = 7 {x}^{2} ( {x}^{3} - {x}^{2} ) - 11x ( {x}^{3} - {x}^{2} )+ 10( {x}^{3} - {x}^{2} )}=7x

2

(x

3

−x

2

)−11x(x

3

−x

2

)+10(x

3

−x

2

)

\sf{ = 7 {x}^{5} - 7 {x}^{4} - 11 {x}^{4} + 11 {x}^{3} + 10 {x}^{3} - 10 {x}^{2} }=7x

5

−7x

4

−11x

4

+11x

3

+10x

3

−10x

2

\sf{ = 7 {x}^{5} - 18 {x}^{4} + 21 {x}^{3} - 10 {x}^{2} }=7x

5

−18x

4

+21x

3

−10x

2

━━━━━━━━━━━━━━━━