Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Step-by-step explanation:

Step 1:

Write the expression

Step 2: Expand

Step 3: Collect similar terms

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

75

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl