Question

add the following polynomial expressions:
$(4y^2 + 2x + 3) + (5x + 2y^2 - 1)$
a $6y^2 + 7x + 2$
b $2y^2 + 7x + 2$
c $6y^2 + 3x + 2$
d $6y^2 + 7x + 4$

Explanation:

Step1: Remove parentheses

$(4y^2 + 2x + 3) + (5x + 2y^2 - 1)=4y^2 + 2x + 3 + 5x + 2y^2 - 1$

Step2: Combine like terms for \(y^2\)

$4y^2+2y^2=(4 + 2)y^2 = 6y^2$

Step3: Combine like terms for \(x\)

$2x+5x=(2 + 5)x = 7x$

Step4: Combine constant terms

$3-1 = 2$

Step5: Combine all terms

$6y^2+7x + 2$

Answer:

A. \(6y^2 + 7x + 2\)