Match the following algebraic expressions to their correct simplified results.

Let’s solve each expression one by one and match it with the correct result.

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1. 3xy × 4xy

Multiply coefficients: 3 × 4 = 12
Multiply variables: x × x = x², y × y = y² → so x²y²
→ 12x²y²

Match: 12x²y²

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2. -3x²y × 4x

Coefficients: -3 × 4 = -12
Variables: x² × x = x³, y stays → x³y
→ -12x³y

Match: -12x³y

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3. 3x × (2 - 4y)

Distribute 3x to both terms inside parentheses:

3x × 2 = 6x
3x × (-4y) = -12xy
→ 6x - 12xy

Match: 6x - 12xy

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4. 4xy² × (-3y)

Coefficients: 4 × (-3) = -12
Variables: x stays, y² × y = y³ → xy³
→ -12xy³

Match: -12xy³

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5. 4y × (2x + 3)

Distribute 4y:

4y × 2x = 8xy
4y × 3 = 12y
→ 8xy + 12y

Match: 8xy + 12y

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6. 2x × 4y²

Coefficients: 2 × 4 = 8
Variables: x × y² = xy²
→ 8xy²

Match: 8xy²

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7. 5xy² + 2xy²

Like terms — same variable part: xy²
Add coefficients: 5 + 2 = 7
→ 7xy²

Match: 7xy²

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8. 8x²y - 5x²y

Like terms — same variable part: x²y
Subtract coefficients: 8 - 5 = 3
→ 3x²y

Match: 3x²y

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9. -5 × 2y

Multiply: -5 × 2 = -10, times y → -10y

Match: -10y

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10. 2 + 4y + 5 - y

Combine like terms:

Constants: 2 + 5 = 7
y terms: 4y - y = 3y
→ 3y + 7

Match: 3y + 7

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Now let’s list all matches clearly:

Left Side → Right Side

- 3xy × 4xy → 12x²y²
- -3x²y × 4x → -12x³y
- 3x × (2 - 4y) → 6x - 12xy
- 4xy² × -3y → -12xy³
- 4y × (2x + 3) → 8xy + 12y
- 2x × 4y² → 8xy²
- 5xy² + 2xy² → 7xy²
- 8x²y - 5x²y → 3x²y
- -5 × 2y → -10y
- 2 + 4y + 5 - y → 3y + 7

All matched correctly!

Final Answer:
3xy × 4xy → 12x²y²
-3x²y × 4x → -12x³y
3x × (2 - 4y) → 6x - 12xy
4xy² × -3y → -12xy³
4y × (2x + 3) → 8xy + 12y
2x × 4y² → 8xy²
5xy² + 2xy² → 7xy²
8x²y - 5x²y → 3x²y
-5 × 2y → -10y
2 + 4y + 5 - y → 3y + 7