Question

(7a^3 -2a-2)+(-5a+3)

Answer 1

7a 3 −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

((7a3 - 2a) - 2) + (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1 Find roots (zeroes) of : F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 7 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,7

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 1.00

-1 7 -0.14 1.98

1 1 1.00 1.00

1 7 0.14 0.02

Polynomial Roots Calculator found no rational roots

Final result :

7a3 - 7a + 1

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{7 {a}^(3) - 7a + 1}}}}}`

Explanation:

`\sf{(7 {a}^(3) - 2a - 2) + ( - 5a + 3) }`

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expressions remains the same. Just, remove the parentheses

⇒
`\sf{7 {a}^(3) - 2a - 2 - 5a + 3}`

Collect like terms

⇒
`\sf{7 {a}^(3) - 2a - 5a - 2 + 3}`

⇒
`\sf{7 {a}^(3) - 7a - 2 + 3}`

Calculate

⇒
`\sf{7 {a}^(3) - 7a + 1}`

Hope I helped!

Best regards!!