Question

Factorise the following: a) 4a2 - 4a+1
b)m2 - 4m+4
c)m2+14m+49
d) 9x2- 30x + 25

Answer 1

Step-by-step explanation:

1.4a^2 -4a+1

(2a)^2-2X2aX1+(1)^2

(2a-1)^2

this question solved by (a-b)^2=a^2-2XaXb+b^2

2.m^2-4m+4

=(m)^2-2XmX2+(2)^2

=(m+2)^2

this question also solve above indentity

3.m^2+14m+49

=(m)^2+2XmX7+(7)^2

=(m+7)^2

this question solved by (a+b)=a^2+2XaXb+b^2

4.9x^2-30x+25

=(3x)^2 -2X3xX5+(5)^2

=(3x-5)^2

=this question solved by above 1identity