Question

(x^3+4)(x^2+2)+5
Help me please

Answer 1

Step-by-step explanation:

hope this attachment will help you

Answer 2

Answer:

( x³ + 4 ) ( x² + 2 ) + 5 = x⁵ + 2x³ + 4x² + 13

Step-by-step-explanation:

The given expression is

( x³ + 4 ) ( x² + 2 ) + 5

We have to simplify this expression.

Let the given expression be A.

A = ( x³ + 4 ) ( x² + 2 ) + 5

By using distributive property,

⇒ A = x³ ( x² + 2 ) + 4 ( x² + 2 ) + 5

We know that,

aᵐ * aⁿ = aᵐ⁺ⁿ

⇒ A = x⁵ + 2x³ + 4x² + 8 + 5

⇒ A = x⁵ + 2x³ + 4x² + 13

Additional Information:

1. Distributive property:

In algebra, while multiplying two brackets we take the first term of first bracket and multiply it with second bracket as it is and then we take second term of first bracket and perform multiplication with other bracket.

Example:

( a + b ) ( c + d ) = a ( c + d ) + b ( c + d )

The sign ( + or - ) of second term of first bracket ( + b ) is written while multiplying it with other bracket.

2. Some Algebraic Identities:

1. ( a + b )² = a² + 2ab + b²

2. ( a - b )² = a² - 2ab + b²

3. a² - b² = ( a + b ) ( a - b )

4. ( a + b )³ = a³ + 3a²b + 3ab² + b³

5. ( a - b )³ = a³ - 3a²b + 3ab² - b³

6. a³ + b³ = ( a + b ) ( a² + b² - ab )

7. a³ - b³ = ( a - b ) ( a² + b² + ab )

8. ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac

9. ( a + b + c )³ = a³ + b³ + c³ + 3 ( a + b ) ( b + c ) ( c + a )