factorise ( 3 m2 - 2m ) ( 6 - 3 m2 + 2m ) - 5.
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The answer is given below :
Now,
(3m² - 2m) (6 - 3m² + 2m) - 5
= (3m² - 2m) {6 - (3m² - 2m)} - 5
= x (6 - x) - 5,
where (3m² - 5) = x (let)
= 6x - x² - 5
= - x² + 6x - 5
= - x² + (5 + 1)x - 5
= - x² + 5x + x - 5
= - x(x - 5) + 1(x - 5)
= (x - 5) (- x + 1)
= (3m² - 5 - 5) {- (3m² - 5) + 1},
since x = (3m² - 5)
= (3m² - 10) (- 3m² + 5 + 1)
= (3m² - 10) (6 - 3m²),
which is the required factorization.
Thank you for your question.
Now,
(3m² - 2m) (6 - 3m² + 2m) - 5
= (3m² - 2m) {6 - (3m² - 2m)} - 5
= x (6 - x) - 5,
where (3m² - 5) = x (let)
= 6x - x² - 5
= - x² + 6x - 5
= - x² + (5 + 1)x - 5
= - x² + 5x + x - 5
= - x(x - 5) + 1(x - 5)
= (x - 5) (- x + 1)
= (3m² - 5 - 5) {- (3m² - 5) + 1},
since x = (3m² - 5)
= (3m² - 10) (- 3m² + 5 + 1)
= (3m² - 10) (6 - 3m²),
which is the required factorization.
Thank you for your question.
royalshr24:
thank u so much
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