Question

which is a factor of 100a b squared - 4 a squared
answers :
a)a+3
b)a-3
c)a-10
d)a+5
e)5b+a

Answer 1

can you write the equation using the equation maker. Cannot understand it.

Answer 2

\[100ab^2-4a^2\]?

Answer 3

yes

Answer 4

well you have two terms, factorise the both,
\[100ab^2=4\times25\times a\times b^2=2^25^2ab^2\]

\[4a^2=2\times2\times a^2=2^2a^2\]

Answer 5

\[4(25b ^{2}-a ^{2})\]
\[4((5b)^{2}-a ^{2})\]
Now Breaking using formula a^{2}-b^{2}
we get
\[4(5b+a)(5b-a)\]
Therefore answer is 5b+a