Question

Which of the following statements is false?

Answer 1

Answer:

B. FALSE

Step-by-step explanation:

A. $(8y^2+2)-(4-2y^2)$

We expand the brackets to get,

$=8y^2+2-4+2y^2$

Group like terms,

$=8y^2+2y^2+2-4$

Simplify,

$=10y^2-2$

TRUE

B. $(y^2-7)+(2y+2)$

Rearrange the terms,

$=y^2+2y-7+2$

Simplify,

$=y^2+2y-5$

$(y^2-7)+(2y+2)\ne y^2-9$

FALSE

C

$(y^2-7)+(2y^2+3)$

Group like terms,

$=y^2+2y^2-7+3$

Simplify,

$=3y^2-4$

TRUE

D. $(y^3-y)-(y^2+4)$

Expand brackets

$=y^3-y-y^2-4$

Rewrite in descending powers of y,

$=y^3-y^2-y-4$

TRUE