factorise 36xsquare + 36x + 8
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Answer:
[tex] {36x}^{2} + 36x + 8[/tex]
[tex] {36x}^{2} + (24 + 12)x + 8[/tex]
[tex] {36x}^{2} + 24x + 12x + 8[/tex]
[tex]12x(3x + 2) + 4(3x + 2)[/tex]
[tex](3x + 2)(12x + 4)[/tex]
Ans. (3x + 2) (12x + 4)
Hope it helps.
Verified answer
Answer:
[tex]36x^2 + 36x + 8= 4(3x + 2) (3x + 1)[/tex]
Step-by-step explanation:
[tex]36x^2 + 36x + 8[/tex]
Find common 4 we get
[tex]= 4 (9x^2 + 9x + 2)[/tex]
Find the number whose product is 18 and sum is 9.
The numbers are 3 and 6
[tex]= 4(9x^2 + 3x + 6x + 2)\\= 4[3x (3x + 1) + 2 (3x + 1)]\\= 4(3x + 2) (3x + 1)[/tex]