Match the following:
(i) a0. (a) a² – 6²
(ii) (a + b)2 (b) x2 + (a + b)x + ab
(iii) (a - b)2 (c) a² + 2ab + b2
(iv) (a - b)(a + b)
(d) a? – 2ab + b2
(v) (x + a)(x + b)
(e) 1
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Answer:
(i) - (e)
(ii) - (c)
(iii) - (d)
(iv) - (a)
(v) - (b)
Step-by-step explanation:
(i) a⁰ = 1, a ≠ ±1,0
Hence (e)
(ii) (a + b)² = a² + 2ab + b²
Hence (c)
(iii) (a - b)² = a² - 2ab + b²
Hence (d)
(iv) (a - b)(a + b) = a² - ab + ab - b²
=> (a - b)(a + b) = a² - b²
Hence (a)
(v) (x + a)(x + b)
=> x² + ax + bx + ab
=> x² + x(a + b) + ab
Hence (b)
Hence the correct answer is :
(i) - (e)
(ii) - (c)
(iii) - (d)
(iv) - (a)
(v) - (b)
Thanks !
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