NCRT maths book ch -14 ex-14.2 Q-1 and Q 5 factorise the following expressions please send answer
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Step-by-step explanation:
(i) a^2 + 8a + 16
Here, 4 + 4 = 8 and 4 × 4 = 16
a^2 + 8a +16
= a^2 + 4a + 4a + 4 × 4
= (a^2 + 4a) + (4a + 16)
= a(a + 4) + 4(a + 4)
= (a + 4) (a + 4)
= (a + 4)^2
(v) 4x^2 – 8x + 4
= 4(x^2 – 2x + 1)..... [Taking 4 common]
= 4(x^2 – x – x + 1)
= 4[x(x – 1) -1(x – 1)]
= 4(x – 1)(x – 1)
= 4(x – 1)^2
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