Maths-

General

Easy

Question

# Fundamental Algebra:

1. Add:

(ii) –7y^{2} + 8y + 2 ; 3y^{2} – 7y + 1

Hint:

### The concept used in this question is the addition of polynomials.

○ Arrange the term in the decreasing order of their power.

○ To add polynomials simply add any like terms together.

○ Like terms are terms whose variables and exponents are the same.

## The correct answer is: – 4y2 + y + 3

###

○

- Step by step explanation:

○ Given:

Expression: –7y^{2} + 8y + 2 ;

3y^{2} – 7y + 1 ;

○ Step 1:

○ Simplify the expression.

(–7y^{2} + 8y + 2 ) + ( 3y^{2} – 7y + 1 )

(–7y^{2} + 8y + 2 ) + ( 3y^{2} – 7y + 1 )

○ Step 2:

○ Group the like terms.

( –7y^{2.} + 3y^{2} ) + ( 8y - 7y ) + ( 2 + 1 )

○ Step 3:

○ Add like terms,

– 4y^{2} + y + 3

- Final Answer:

– 4y^{2} + y + 3

^{2}+ 8y + 2 ) + ( 3y

^{2}– 7y + 1 )

^{2}+ 8y + 2 ) + ( 3y

^{2}– 7y + 1 )

○ Step 2:

○ Group the like terms.

( –7y

^{2.}+ 3y

^{2}) + ( 8y - 7y ) + ( 2 + 1 )

○ Step 3:

○ Add like terms,

^{2}+ y + 3

^{2}+ y + 3

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