Question

factorise 9/25 y square-49/4 z square ​

Answer 1

Answer:

The factors are $(\frac{3}{5}x+\frac{7}{2}z)(\frac{3}{5}x-\frac{7}{2}z)$.

Step-by-step explanation:

The expression is: $\frac{9}{25}y^{2}-\frac{49}{2}z^{2}$.

Factors of the expression: $a^{2}-b^{2}=(a+b)(a-b)$

Factorize as follows:

$\frac{9}{25}y^{2}-\frac{49}{4}z^{2}=(\frac{3}{5}x+\frac{7}{2}z)(\frac{3}{5}x-\frac{7}{2}z)$

Thus, the factors are $(\frac{3}{5}x+\frac{7}{2}z)(\frac{3}{5}x-\frac{7}{2}z)$.