Question

substractthe algebraic expressions:
$1.4x {y}^{2} from3x {y}^{2}$
$2.3a - 5b + c + 2dfrom 7a - 3b + c - 2d$
$3. a + ab + {b}^{2} from \: 4 {a}^{2} - 3ab + 2 {b}^{2}$
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Answer 1

Correct Question:

Subtract the algebraic expressions.

Given:

1. 4xy² from 3xy²
2. 3a - b + c + 2d from 7a - 3b + c - 2d
3. a + ab + b² from 4a² - 3ab + 2b²

What To Find:

We have to subtract and find the difference of the given algebraic expressions.

Solution:

1. 4xy² from 3xy²

⇒ (3xy²) - (4xy²)

Remove the brackets,

⇒ 3xy² - 4xy²

Solve the like terms,

⇒ -xy²

2. 3a - b + c + 2d from 7a - 3b + c - 2d

⇒ (7a - 3b + c - 2d) - (3a - b + c + 2d)

Remove the brackets,

⇒ 7a - 3b + c - 2d - 3a + b - c - 2d

Rearrange the like terms,

⇒ 7a - 3a - 3b + b + c - c - 2d - 2d

Solve the like terms,

⇒ 4a - 2b - 4d

3. a + ab + b² from 4a² - 3ab + 2b²

⇒ (4a² - 3ab + 2b²) - (a + ab + b²)

Remove the brackets,

⇒ 4a² - 3ab + 2b² - a - ab - b²

Rearrange the like terms,

⇒ 4a² + 2b - b² - 3ab - ab - a

Solve the like terms,

⇒ 4a² + b² - 4ab - a

Answer 2

Step-by-step explanation:

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