Question

Factorise the following
(i) x ki power 2
(ii) x² +5x+6=0
(iii) 5 ki power 2 - y ki power 2​

Answer 1

Answer:

mark brainliest

1 x²

2)))Find factor of an equation x2+5x+6=0

Solution:

=x2+5x+6=0

=x2+5x+6

Factors are 2,3 whose product is 2⋅3=6 and sum is 2+3=5

So use 2 and 3 to split the 5 coefficient on the middle term

=x2+2x+3x+6

=x(x+2)+3(x+2)

=(x+2)(x+3)

3 ))))Find factor of an equation 52-y2

Solution:

=52-y2

=(-1)(y2-25)

Rewrite y2=(y)2 and 25=(5)2

=(-1)((y)2-(5)2)

Here both terms are perfect squares, so factor using the difference of squares formula, a2-b2=(a-b)(a+b) where a=y and b=5

=(-1)(y-5)(y+5)

=-1(y-5)(y+5)

=-(y-5)(y+5)