Question

Simplify the expression a(a^2+ a +1)+1 and find its value for a= -1

please answer this question​

Answer 1

Given,

An expression, a(a²+ a +1)+1.

To Find,

The simplification of this expression with the value of a = -1.

Solution,

Given expression = a(a²+ a +1)+1.

[Substituting the value of a = -1]

= -1(-1² + -1 + 1)+1

In the brackets:

→ -1² = -1 x -1 = 1

→ -1 + 1 gets cancelled as the add upto 0.

By simplifying, we get it as:

-1 x 1 + 1

= -1 + 1

= 0

Therefore by simplifying the expression a(a²+ a +1)+1 with the value of a = -1, we get the answer as 0.

BODMAS theorem

According to the BODMAS theorem, an expression with all the mathematical operations and brackets should be solved in the order as given below:

→ Brackets Of

→ Division

→ Multiplication

→ Addition

→ Subtraction