b) Factorise: 2mn? + 4тпр + 3gn? + 2mр? + бqnp + 3gp
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Answer:
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Step-by-step explanation:
(i) 4p
2
−9q
2
=(2p)
2
−(3q)
2
=(2p+3q)(2p−3q)
(ii) 63a
2
−112b
2
=7[(3a)
2
−(4b)
2
]
=7(3a+4b)(3a−4b)
(iii) 49x
2
−36
=[(7x)
2
−(6)
2
]
=(7x−6)(7x+6)
(iv) 16x
5
−144x
3
=16x
3
[x
2
−3
2
]
=16x
3
(x−3)(x+3)
(v) (l+m)
2
−(l−m)
2
=2m×2l=4lm
(vi) 9x
2
y
2
−16
=[(3xy)
2
−4
2
]
=(3xy−4)(3xy+4)
(vii) (x
2
−2xy+y
2
)−z
2
=[(x−y)
2
−z
2
]
=(x−y+z)(x−y−z)
(viii) 25a
2
−4b
2
+28bc−49c
2
=(5a)
2
−[(2b−7c)
2
]
=(5a+2b−7c)(5a−2b+7c)
Answered by
4
Step-by-step explanation:
2mn? + 4тпр + 3gn? + 2mр? + бqnp + 3gp
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