Question

Simplify the polynomial by combining like terms. 4.78x^2-3.55x+7.85x^2+10.35-4.06x

Answer 1

Answer:

The simplified polynomial is $y = 12.63\cdot x^{2}-7.61\cdot x + 10.35$.

Explanation:

Combining like terms consists in apply Commutative, Associative and Distributive Properties if needed in a given algebraic expression. We proceed to present the procedure to simplify the expression by combining like terms:

1) $y = 4.78\cdot x^{2}-3.55\cdot x +7.85\cdot x^{2}+10.35 - 4.06\cdot x$ Given.

2) $y = (4.78\cdot x^{2}+7.85\cdot x^{2}) +(-3.55\cdot x-4.06\cdot x) + 10.35$ Associative and commutative properties.

3) $y = (4.78+7.85)\cdot x^{2} + (-3.55-4.06)\cdot x + 10.35$ Distributive property.

4) $y = 12.63\cdot x^{2}-7.61\cdot x + 10.35$ Definitions of addition and subtraction/Result.

The simplified polynomial is $y = 12.63\cdot x^{2}-7.61\cdot x + 10.35$.