Question

factorise the following 6X square + 35XY square -6Y
square

Answer 1

6x^2+35xy-6y^2

=6x^2+36xy-xy-6y^2

=6x(x+6)-y(x+6)

=(6x-y)(x+6)

Hope it helps

Answer 2

Factorise the following 6X square + 35XY square -6Y  square

$6x^2 + 35xy - 6y^2 = (x + 6y)(6x - y)$

Solution:

Given that,

$6x^2 + 35xy - 6y^2$

We have to factorise the above given expression

From given,

$6x^2 + 35xy - 6y^2$

Split the middle term

$6x^2 + 36xy - xy - 6y^2$

Group the expression

$(6x^2 + 36xy) - (xy + 6y^2)$

Factor out 6x from first group and y as common term from second term

$6x(x + 6y) - y(x + 6y)$

Factor out x + 6y

$(x + 6y)(6x - y)$

Thus the factored form is found

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