1. Factorize the following by taking the difference of squares:
(i) x2 – 9Answers for the worksheet on factoring the differences of two squares are given below to check the exact answers of the above factorization.
Answers:
1. (i) (x + 3) (x - 3)
(ii) (a + 1) (a - 1)
(iii) (7 + x) (7 - x)
(iv) (2x + 5) (2x - 5)
(v) (ab + 4) (ab - 4)
(vi) (a2 + b2) (a + b) (a - b)2. (i) (12a + 13b) (12a - 13b)
(ii) (1 + 0.3a) (1 - 0.3a)
(iii) (4x + 11) (4x - 11)
(iv) [(3/5)b + 8a] [(3/5)b - 8a]
(v) (x2 + 16) (x + 4) (x – 4)3. (i) (6a + b) (6a - b)
(ii) (xy + 4) (xy - 4)
(iii) (3a2b2 + 5p2q2) (3a2b2 - 5p2q2)(v) (9x + 7y) (9x - 7y)
(vi) (x + y - z) (x – y + z)
4. (i) (4m + 3n + 2y) (4m - 3n - 2y)
(ii) (3a + 8b + 5d) (3a – 5d)
(iii) 4xy
(iv) 2(5p + 6q) (5p - 6q)
(v) (a2 + b2 + c2 + 2bc) (a + b + c) (a – b - c)(vi) (m + 1/13) (m - 1/13)
5. (i) (5x + y) (x + 5y)
(ii) (4/7 + 5p) (4/7 - 5p)
(iii) x(3y + x) (3y - x)
(iv) (9x – 4) (3x + 8)
(v) (1 + 11a) (1 - 11a)
(vi) (13p + 1) (13p - 1)
6. (i) (1 + a + b) (1 – a - b)
(ii) (xy + 5/z) (xy - 5/z)
(iii) x4y4 (x4 + y4) (x2 + y2) (x + y) (x – y)Math Homework Sheets
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