Evaluate the following by using factors:
(979)2 - (21)2
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We know that,
a2 - b2 = (a - b)(a + b).
∴ (979)2 - (21)2 = (979 - 21)(979 + 21)
= 958 x 1000
= 958000.
Hence, (979)2 - (21)2 = 958000.
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Express each of the following as the difference of two squares:
(x2 - 5x + 7)(x2 - 5x - 7)
(x2 + 5x - 7)(x2 - 5x + 7)
(99.9)2 - (0.1)2
Factorise the following:
x2 + 5x + 6