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We have p 2 - 10p + 25 = p 2 - 2(p)(5) + (5) 2 = (p - 5) 2 = (p - 5) (p - 5) ∴ p 2 - 10p + 25 = (p -5) 2 = (p - 5)(p - 5)

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Factorisation

Short Answer Type

31.

Factorise:

5xy + 10x

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32.

Factorise:
12a²b + 15ab²

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33.

Factorise 10x²- 18x³+ 14x⁴

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34.

Factorise:

2xy + 2y + 3x + 3.

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35.

Factorise:

6xy - 4y + 6 - 9x

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36.

Factorise the following expression:

a²+ 8a + 16

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37.
Factorise the following expression:

P²- 10p + 25

We have
p²- 10p + 25 = p² - 2(p)(5) + (5)² = (p - 5)² = (p - 5) (p - 5)

∴ p² - 10p + 25 = (p -5)² = (p - 5)(p - 5)

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38.

Factorise the following expression:

25m² + 30 m + 9

471 Views

39.

Factorise the following expression:

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