An diofar eadar dà luach ceàrnagaichte
Thoir na camagan air falbh bho:
\((a - b)(a + b)\)
\(= {a^2} + ab - ab - {b^2}\)
\(= {a^2} - {b^2}\)
Ma nì sinn seo an taobh eile, canaidh sinn gu bheil:
\({a^2} - {b^2} = (a - b)(a + b)\)
Mar sin airson an diofar eadar dà luach ceàrnagaichte fhactaradh, canaidh sinn gu bheil:
\({a^2} - {b^2} = (a - b)(a + b)\)
Eisimpleir
1. Factaraich na leanas:
\({x^2} - 16\)
Coimhead a-mach airson àireamhan ceàrnagaichte.
\(= {(x)^2} - {(4)^2}\)
\(= (x - 4)(x + 4)\)
2. Factaraich na leanas:
\(25{p^2} - 1\)
Cuir e dhan riochd \({(..)^2} - {(..)^2}\)
\(= {(5p)^2} - {(1)^2}\)
\(= (5p - 1)(5p + 1)\)
Question
Factaraich na leanas:
\(16 - {w^2}\)
\(= {(4)^2} - {(w)^2}\)
\(= (4 - w)(4 + w)\)
Question
Factaraich na leanas:
\({y^2} - 81\)
\(= {(y)^2} - {(9)^2}\)
\(= (y - 9)(y + 9)\)
Question
Factaraich na leanas
\(36{f^2} - 49{g^2}\)
Tha àireamh cheàrnagach san dà theirm.
\(= {(6f)^2} - {(7g)^2}\)
\(= (6f - 7g)(6f + 7g)\)
Question
Factaraich na leanas:
\(3{a^2} - 27\)
Thoir air falbh factar cumanta an toiseach.
\(= 3({a^2} - 9)\)
\(= 3({(a)^2} - {(3)^2})\)
\(= 3(a - 3)(a + 3)\)