Question

x³z⁵-5x³z²=x³z²(z³-__)

Answer 1

Question :- x³z⁵-5x³z²=x³z²(z³- __)

Solution :-

Solving LHS part,

→ x³z⁵ - 5x³z²

breaking z⁵ by using a^m * a^n = a^(m + n)

• 5 = 2 + 3

So,

→ x³ * z² * z³ - 5 * x³ * z²

as we can see 3 power of x and 2 power of z are common in both , So, taking common now,

→ x³ * z²(z³ - 5)

comparing with RHS part we get,

→ x³ * z²(z³ - 5) = x³z²(z³ - __)

→ x³ * z²(z³ - 5) = x³ * z²(z³ - __)

Therefore, 5 will come in the filling part.

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