Question

16a^2/25b^2-x^2/100y^2 factorise​

Answer 1

Answer:

($\frac{4a}{5b}$-$\frac{x}{10y}$)($\frac{4a}{5b}$+$\frac{x}{10y}$)

Step-by-step explanation:

In this situation we can see that all the coefficients are a perfect square.

Further observing we can see that this formula is applicable in this question:

a²-b²=(a+b)(a-b)

⇒$\frac{16a^{2} }{25b^{2} }$ - $\frac{x^{2} }{100y^{2} }$

=($\frac{4a}{5b}$)²-($\frac{x}{10y}$)²

=($\frac{4a}{5b}$-$\frac{x}{10y}$)($\frac{4a}{5b}$+$\frac{x}{10y}$)

Hope this helps...

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