Question

1. Multiple Choice Questions (MCQ) Choose the correct option.
(i) The product of (x + y), (x - y) and (x2 + y2) is
(a) x2 - y2 (6) x4 + y4
(c) x4 – yt
(d) x3 – 13
(ii) The value of 20.4 x 19.6 is
(a) 399.86 (6) 399.84
(c) 398.6 (d) 398.4
(iii) If pq = 6 and p + q = 5, then p2 + q2 = ?
(a) 10
(6) 11
(c) 12
(d) 13
2. Find the greatest common factor of the following monomials :
(i) x²y3 and 2x3y2
(ii) a3 and -ba2 (iii) 10a4b3, 14ab and 2a362
(iv) - 150x, 15x3 and - 45x2 (v) ab2c3 and - a26c2 (vi) 2ax2 and -6a2x
3. Factorise each of the following:
(i) 6abc-9a²c
(ii) 4a x2 + 8a3x3 (iii) ax + ay + az
(iv) ax - 2ay + 3az
(u) a2x - 4ax + 3ax2 (vi) 6a 462 - 18a263
(vii) 2ax2 + 6a2x
(viii) a3-6a2
(ix) 6a482 - 18a262
(x) ax2 + a²y2
(xi) 3py2 - 6pyx + 9xºp
4. Factorise :
(i) 25x2 - y2
(ii) 25x2 – 16y2
(iii) 1-9x2
(iv) 4 - 25x2
(v) 36 - 22
(vi) x2 - 8172
(vii) (x + y)2 - 1
(viii) x4 - 1
(ix) xt – y6
5. Factorise the following:
(i) c2 - (x - y)2
(ii) a2 - 46 - c)2 (iii) 9a2 - 4(6-c)2
(iv) 25(a - b)2 - 2
(u) (a - b)2 - (c - d)2 (vi) 4(a - b)2 – (c-d2
6. Factorise the following:
(i) 4x2 + 28xy + 49y2
(ii) 1 + 2x + x2 (iii) 4 + 4(x - y) + (x - y)2
7. Factorise the following:
(iii) 4x2 - 12x + 9
(i) x2 + 6xy +9y2
(ii) x2 - 4xy + 4y2
(iv) 9x2 - 24xy + 16y2
(v) x2 + 20x + 100 (vi) 9x2 - 12xy + 4y2
(vii) 1 - 2x + x2
(viii) 16x2 - 40xy + 25y2​

Answer 1

Answer:

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