Question

Multiplication formula in Algebraic formula

(x power 2 - 5x +8) x power 2x -3)​

Answer 1

Answer:

Given

x

2

−

5

x

+

8

=

0

Completing the square

x

2

−

5

x

+

(

5

2

)

2

+

8

−

(

5

2

)

2

=

0

(

x

−

5

2

)

2

=

25

4

−

8

=

−

7

8

x

−

5

2

=

±

√

−

7

8

Note: there are no Real roots

x

=

5

2

±

√

7

8

i

Answer 2

$\huge\underline\mathfrak\orange{❥︎ANSWER}$

$( {x}^{2} - 5x + 8)( {x}^{2} + 2x - 3)$

${x}^{2} ( {x}^{2} + 2x - 3) - 5x( {x}^{2} + 2x - 3) + 8( {x}^{2} - 5x + 8)$

$x {}^{4} + 2 {x}^{3} - 3 {x}^{2} - 5 {x}^{3} - 10 {x}^{2} - 15x + 8 {x}^{2} - 40x + 64$

${x}^{4} - 3 {x}^{3} - 2 {x}^{2} - 55x + 64$

hope it helps you☺☺