Factorise
28(a+b)³-14(a + b)² +7(a+b)
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Verified answer
[tex]\sf{28(a + b)^{3} - 14(a + b)^{2} + 7(a + b)}[/tex]
[tex]\sf{7(a + b)[4(a + b)^{2} - 2(a + b) + 1]}[/tex]
let
[tex]\: \: \: \: \: \: \: \: \: \: \: \sf{(a + b) \: = \: x}[/tex]
then -
[tex]\: \: \: \: \: \: \sf{7x (4x^{2} - 2x + 1)}[/tex]
[tex]\: \: \: \sf{7x (4x^{2} - 4x + 1 + 2x)}[/tex]
[tex]\sf \boxed{(a^{2} - 2ab + b^{2}) \: = \: (a - b)^{2}}[/tex]
So -
[tex]\: \: \: \: \: \sf{7x [(2x - 1)^{2} + 2x]}[/tex]
On putting value of x
[tex]\sf{7(a + b)[(a + b - 1)^{2} + 2(a + b)]}[/tex]
Answer:
Step-by-step explanation:
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