By factoring, the simplified form of given terms would be:
1. 9rs = 9 × r × s
2. 14xy = 7 × 2 × x × y
3. 32x² = 2 × 2 × 2 × 2 ×2 × x × x
4. 30x² = 5 × 2 × 3 × x × x
5. 25y³ = 5 × 5 × y × y × y
6. 9xy = 9 × x × y
7. 12x^4 = 3 × 2 × 2 × x × x × x × x
For given question,
We have been given some mathematical expressions.
We need to simplify each term by factoring.
Factoring is nothing but to factor a number means to break it up into numbers that can be multiplied together to get the original number.
Now we simplify each expression by factoring:
1. 9rs = 9 × r × s
2. 14xy = 14 × x × y
= 7 × 2 × x × y
3. 32x² = 8 × 4 × x × x
= 2 × 2 × 2 × 2 ×2 × x × x
4. 30x² = 10 ×3 × x²
= 5 × 2 × 3 × x × x
5. 25y³ = 5 × 5× y³
= 5 × 5 × y × y × y
6. 9xy = 9 × x × y
7. 12x^4 = 3 × 4× x × x × x × x
= 3 × 2 × 2 × x × x × x × x
Therefore, by factoring, the simplified form of given terms would be:
1. 9rs = 9 × r × s
2. 14xy = 7 × 2 × x × y
3. 32x² = 2 × 2 × 2 × 2 ×2 × x × x
4. 30x² = 5 × 2 × 3 × x × x
5. 25y³ = 5 × 5 × y × y × y
6. 9xy = 9 × x × y
7. 12x^4 = 3 × 2 × 2 × x × x × x × x
Learn more about an factoring here:
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