Maths Factorisation Exercise 4.3

Factorisation Exercise 4.3

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Q18Express each of the following as the difference of two squares:
(i) (x2 - 5x + 7) (x2 + 5x + 7)
(ii) (x2 - 5x + 7) (x2 - 5x - 7)
(iii) (x2 + 5x - 7) (x2 - 5x + 7)

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Q19 Evaluate the following by using factors :
(i) (979)² - (21)²
(ii) (99.9)² - (0.1)²

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Factorisation Exercise 4.3

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Q1 Factorise the following (1 to 17):

4x² - 25y²
(ii) 9x² - 1

Q2 (i) 150 - 6a²
(ii) 32x² - 18y²

Q3 (i) (x - y)² - 9
(ii) 9(x + y)2 - x 2

Q4 (i) 20x2 - 45y2
(ii) 9x2 - 4(y + 2x)2

Q5 (i) 2(x - 2y)² - 50y²
(ii) 32 - 2(x - 4)²

Q6 (i) 108a² - 3(b - c)²
(ii) πa⁵ - π 3ab²

Q7 (i) 50x² - 2(x - 2)²
(ii) (x - 2)(x + 2) + 3

Q8 (i) x - 2y - x 2 + 4y2
(ii) 4a² - b ² + 2a + b

Q9 (i) a(a - 2) - b(b - 2)
(ii) a(a - 1) - b(b - 1)

Q10 (i) 9 - x 2 + 2xy - y 2 >
(ii) 9x4 - (x2 + 2x + 1)

Q11 (i) 9x4 - x 2 - 12x - 36
(ii) x 3 - 5x2 - x + 5

Q12 (i) a 4 - b 4 + 2b2 - 1
(ii) x3 - 25x

Q13 (i) 2x4 - 32
(ii) a 2 (b + c) - (b + c)3

Q14 (i) (a + b)3 - a - b
(ii) x 2 - 2xy + y2 - a 2 - 2ab - b 2

Q15 (i) (a2 - b 2 ) (c2 - d 2 ) - 4abcd
(ii) 4x2 - y 2 - 3xy + 2x - 2y

Q16 (i) x 2 + 1/x2 - 11
(ii) x 4 + 5x2 + 9

Q17 (i) a 4 + b4 - 7a2b 2
(ii) x 4 - 14x2 + 1

Q18Express each of the following as the difference of two squares:
(i) (x2 - 5x + 7) (x2 + 5x + 7)
(ii) (x2 - 5x + 7) (x2 - 5x - 7)
(iii) (x2 + 5x - 7) (x2 - 5x + 7)

Q19 Evaluate the following by using factors :
(i) (979)² - (21)²
(ii) (99.9)² - (0.1)²

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Factorisation Exercise 4.3

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Q1 Factorise the following (1 to 17): 4x2 - 25y2 (ii) 9x2 - 1

Q2 (i) 150 - 6a2 (ii) 32x2 - 18y2

Q3 (i) (x - y)2 - 9 (ii) 9(x + y)2 - x 2

Q4 (i) 20x2 - 45y2 (ii) 9x2 - 4(y + 2x)2

Q5 (i) 2(x - 2y)2 - 50y2 (ii) 32 - 2(x - 4)2

Q6 (i) 108a2 - 3(b - c)2 (ii) πa5 - π 3ab2

Q7 (i) 50x2 - 2(x - 2)2 (ii) (x - 2)(x + 2) + 3

Q8 (i) x - 2y - x 2 + 4y2 (ii) 4a2 - b 2 + 2a + b

Q9 (i) a(a - 2) - b(b - 2) (ii) a(a - 1) - b(b - 1)

Q10 (i) 9 - x 2 + 2xy - y 2 > (ii) 9x4 - (x2 + 2x + 1)

Q11 (i) 9x4 - x 2 - 12x - 36 (ii) x 3 - 5x2 - x + 5

Q12 (i) a 4 - b 4 + 2b2 - 1 (ii) x3 - 25x

Q13 (i) 2x4 - 32 (ii) a 2 (b + c) - (b + c)3

Q14 (i) (a + b)3 - a - b (ii) x 2 - 2xy + y2 - a 2 - 2ab - b 2

Q15 (i) (a2 - b 2 ) (c2 - d 2 ) - 4abcd (ii) 4x2 - y 2 - 3xy + 2x - 2y

Q16 (i) x 2 + 1/x2 - 11 (ii) x 4 + 5x2 + 9

Q17 (i) a 4 + b4 - 7a2b 2 (ii) x 4 - 14x2 + 1

Q18Express each of the following as the difference of two squares: (i) (x2 - 5x + 7) (x2 + 5x + 7) (ii) (x2 - 5x + 7) (x2 - 5x - 7) (iii) (x2 + 5x - 7) (x2 - 5x + 7)

Q19 Evaluate the following by using factors : (i) (979)2 - (21)2 (ii) (99.9)2 - (0.1)2

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Q1 Factorise the following (1 to 17):

4x² - 25y²
(ii) 9x² - 1

Q2 (i) 150 - 6a²
(ii) 32x² - 18y²

Q3 (i) (x - y)² - 9
(ii) 9(x + y)2 - x 2

Q4 (i) 20x2 - 45y2
(ii) 9x2 - 4(y + 2x)2

Q5 (i) 2(x - 2y)² - 50y²
(ii) 32 - 2(x - 4)²

Q6 (i) 108a² - 3(b - c)²
(ii) πa⁵ - π 3ab²

Q7 (i) 50x² - 2(x - 2)²
(ii) (x - 2)(x + 2) + 3

Q8 (i) x - 2y - x 2 + 4y2
(ii) 4a² - b ² + 2a + b

Q9 (i) a(a - 2) - b(b - 2)
(ii) a(a - 1) - b(b - 1)

Q10 (i) 9 - x 2 + 2xy - y 2 >
(ii) 9x4 - (x2 + 2x + 1)

Q11 (i) 9x4 - x 2 - 12x - 36
(ii) x 3 - 5x2 - x + 5

Q12 (i) a 4 - b 4 + 2b2 - 1
(ii) x3 - 25x

Q13 (i) 2x4 - 32
(ii) a 2 (b + c) - (b + c)3

Q14 (i) (a + b)3 - a - b
(ii) x 2 - 2xy + y2 - a 2 - 2ab - b 2

Q15 (i) (a2 - b 2 ) (c2 - d 2 ) - 4abcd
(ii) 4x2 - y 2 - 3xy + 2x - 2y

Q16 (i) x 2 + 1/x2 - 11
(ii) x 4 + 5x2 + 9

Q17 (i) a 4 + b4 - 7a2b 2
(ii) x 4 - 14x2 + 1

Q18Express each of the following as the difference of two squares:
(i) (x2 - 5x + 7) (x2 + 5x + 7)
(ii) (x2 - 5x + 7) (x2 - 5x - 7)
(iii) (x2 + 5x - 7) (x2 - 5x + 7)

Q19 Evaluate the following by using factors :
(i) (979)² - (21)²
(ii) (99.9)² - (0.1)²