Question

Simplify each expression. Write your answer in standard form
1) (k^2 + 8k^4 - 4k^3) + (8k^2 + k^4 + 4k^3)

2) (7 - x - x^4) - (4x - 7x^4 - 5)

Answer 1

$\LARGE{ \underline{\underline{ \pink{ \bf{ANSWER}}}}}$

1) 9k⁴ + 9k²

2) 6x⁴ - 5x + 12

Step-by-step explanation:

$1) (k^2 + 8k^4 - 4k^3) + (8 k^2 + k^4 + 4k^3)$

♤Collect Like Terms♤

》k² ,8k²

》8k⁴,k⁴

》-4x³,4x³

Let us add the like terms

• k² + 8k² = 9k²

• 8k⁴ + k⁴ = 9k⁴

• -4k³ + 4k³ = 0

So, solution in standard form is 9k⁴ + 9k²

2)

Let us open the bracket of (7- x - x⁴) - (4x + 7x⁴ + 5)

》7 - x - x⁴ - 4x + 7x⁴ + 5

♤Collect Like Terms♤

》-x⁴,7x⁴

》7,5

》-x,-4x

Let us bring this together

-x⁴+ 7x⁴ = 6x⁴

7 + 5 = 12

-x - 4x = -5x

Standard Form = 6x⁴ - 5x + 12

Answer 2

Answer:

1) 9k⁴ + 9k²

2) 6x⁴ - 5x + 12

Step-by-step explanation:

1) (k^2 + 8k^4 - 4k^3) + (8 k^2 + k^4 + 4k^3)1)(k

2

+8k

4

−4k

3

)+(8k

2

+k

4

+4k

3

)

♤Collect Like Terms♤

》k² ,8k²

》8k⁴,k⁴

》-4x³,4x³

Let us add the like terms

k² + 8k² = 9k²

8k⁴ + k⁴ = 9k⁴

-4k³ + 4k³ = 0

So, solution in standard form is 9k⁴ + 9k²

2)

Let us open the bracket of (7- x - x⁴) - (4x + 7x⁴ + 5)

》7 - x - x⁴ - 4x + 7x⁴ + 5

♤Collect Like Terms♤

》-x⁴,7x⁴

》7,5

》-x,-4x

Let us bring this together

-x⁴+ 7x⁴ = 6x⁴

7 + 5 = 12

-x - 4x = -5x

Standard Form = 6x⁴ - 5x + 12

Step-by-step explanation:

@Lv02 ❤