Maths-

General

Easy

Question

# Simplify -6 + 4a^{2 }+ 2b^{2} - 7xz - 3xz + 4a^{2 }- 5b^{2 }- 2.

Hint:

### Group the like terms.

○ Like terms are those whose coefficients are the same.

○ Perform basic arithmetic operations on like terms.

## The correct answer is: Hence, the other term is 8a2 - 3b2 - 10xz - 8.

### Answer:

- Step by step explanation:

○ Given:

Expression: -6 + 4a^{2 }+ 2b^{2} - 7xz - 3xz + 4a^{2 }- 5b^{2 }- 2.

○ Step 1:

○ Group like terms.

-6 + 4a^{2 }+ 2b^{2} - 7xz - 3xz + 4a^{2 }- 5b^{2 }- 2

( -6 - 2) + (4a^{2 }+ 4a^{2}) - (7xz + 3xz) + (2b^{2} - 5b^{2 })

( -8) + (8a^{2}) - (10xz ) + (- 3b^{2 })

8a^{2 }- 3b^{2} - 10xz - 8

- Final Answer:

Hence, the other term is 8a^{2 }- 3b^{2} - 10xz - 8.

^{2 }+ 2b

^{2}- 7xz - 3xz + 4a

^{2 }- 5b

^{2 }- 2

^{2 }+ 4a

^{2}) - (7xz + 3xz) + (2b

^{2}- 5b

^{2 })

^{2}) - (10xz ) + (- 3b

^{2 })

^{2 }- 3b

^{2}- 10xz - 8

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