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Multiply the binomials: (i) 2a – 9 and 3a + 4 (ii) x – 2y and 2x – y (iii) kl + lm and k – l (iv) m2 – n2 and m + n |
Answer» i) 2a – 9 and 3a + 4 = (2a – 9) (3a + 4) = 2a (3a + 4) – 9(3a + 4) = 6a2 + 8a – 27a – 36 = 6a2 – 19a – 36 ii) x – 2y and 2x – y = (x – 2y) (2x – y) = x(2x – y) – 2y(2x – y) = 2x2 – xy – 4xy + 2y2 = 2x2 – 5xy + 2y2 iii) kl + lm and k – l = (kl + lm) (k – l) = kl(k – l) + lm(k – l) = k2l – l2k + klm – l2m iv) m2 – n2 and m + n = (m2 – n2) (m + n) = m2(m + n) – n2(m + n) = m3 + m2n – n2m – n3 |
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