Question

find the product of (a² - 5a + 8) × (a²+2) ​

Answer 1

Answer:

$\displaystyle \red{( {a}^{2} - 5a + 8) \times ( {a}^{2} + 2)}$

$\displaystyle \red{ {a}^{2} \times ({a}^{2} + 2) - 5a \times ( {a}^{2} + 2) + 8( {a}^{2} + 2)}$

$\displaystyle \red{ {a}^{2} + 2a {}^{2} - 5a \times ( {a}^{2} + 2) + 8( {a}^{2} + 2)}$

$\displaystyle \red {{a}^{4} + 2 {a}^{2} - 5 {a}^{3} - 10a + 8( {a}^{2} + 2)}$

$\displaystyle \red{ {a}^{4} + 2a {}^{2} - 5 {a}^{3} - 10a + 8 {a}^{2} + 16}$

Arrange like terms.

$\displaystyle \green{ {a}^{4} - 5 {a}^{3} + 10 {a}^{2} - 10a + 16}$

Answer 2

Answer:

The answer is

${a}^{4} - 5{a}^{3} + 10 {a}^{2} - 10a + 16$

Step-by-step explanation:

Explanation is in the picture.

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