Question

Factorize: 100 - 49/16a^2

Answer 1

Step-by-step explanation:

(10-7/4a)^2=0

10-7/4a=0

a= 7/40

Answer 2

Answer:

$100 -\frac{49}{16} a^2 = (10 +\frac{7}{4} a) (10 -\frac{7}{4} a)$

Step-by-step explanation:

We know that

$a^2 - b^2 = (a - b) (a + b)$

$100 -\frac{49}{16} a^2= (10)^2 - (\frac{7}{4}a )^2\\= (10 +\frac{7}{4} a) (10 -\frac{7}{4} a)$