Answer:
1. a²b²+2abd+d²
2. 9x²+36×+36
3. 4p²-24pq+36q²
4. 9m⁶+12m³n+4n²
5. p²-14p+49
6. p⁴-12p²+36
Perform the indicated operation and simplify.
1) (ab + d)²
=(ab)² + 2(ab•d) + (d)²
=a²b² + 2abd + d²
2) (3x + 6)²
=(3x)² + 2(3x•6) + (6)²
= 9x² + 36x + 36
3) (2p - 6q)²
=(2p)² - 2(2p•6q) + (6p)²
=4p² - 32pq + 36p²
4) (3m³ + 2n)²
=(3m³)² + 2(3m³•2n) + (2n)²
=9m⁶ + 12m³n + 4n²
5) (-7 + p)²
=(-7)² + 2(-7•p) + (p)²
= 49 - 14p + p² or p² -14p + 49
6) (p² - 6)²
=(p²)² - 2(p²•6) + (6)²
=p⁴ - 12p² + 36
Fill in the blank.
1) (x + 5)² = x² + 10x + 25
2) (2x - 5)² = 4x² - 20x + 25
3) (5y + 2)² = 25y² + 20y + 4
4) (6m³ - 2n)² = 36m⁹ - 24m³n + 4n²
5) (8ab - 7xy)² = 64a²b² - 112abxy + 49x²y²
6) (4a² - 5y²)² = 16a⁴ - 40a²y² + 25y⁴
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Answers & Comments
Answer:
1. a²b²+2abd+d²
2. 9x²+36×+36
3. 4p²-24pq+36q²
4. 9m⁶+12m³n+4n²
5. p²-14p+49
6. p⁴-12p²+36
Answer:
Perform the indicated operation and simplify.
1) (ab + d)²
=(ab)² + 2(ab•d) + (d)²
=a²b² + 2abd + d²
2) (3x + 6)²
=(3x)² + 2(3x•6) + (6)²
= 9x² + 36x + 36
3) (2p - 6q)²
=(2p)² - 2(2p•6q) + (6p)²
=4p² - 32pq + 36p²
4) (3m³ + 2n)²
=(3m³)² + 2(3m³•2n) + (2n)²
=9m⁶ + 12m³n + 4n²
5) (-7 + p)²
=(-7)² + 2(-7•p) + (p)²
= 49 - 14p + p² or p² -14p + 49
6) (p² - 6)²
=(p²)² - 2(p²•6) + (6)²
=p⁴ - 12p² + 36
Fill in the blank.
1) (x + 5)² = x² + 10x + 25
2) (2x - 5)² = 4x² - 20x + 25
3) (5y + 2)² = 25y² + 20y + 4
4) (6m³ - 2n)² = 36m⁹ - 24m³n + 4n²
5) (8ab - 7xy)² = 64a²b² - 112abxy + 49x²y²
6) (4a² - 5y²)² = 16a⁴ - 40a²y² + 25y⁴