Question

Simplify:(2q-3z)^2-2(2q-3z)(q-3z)+(q-3z)^2

Answer 1

Question :-

• Simplify:(2q-3z)² - 2(2q-3z)(q-3z) + (q-3z)²

Answer :-

Given :-

• (2q-3z)² - 2(2q-3z)(q-3z) + (q-3z)²

Identity Used :-

• (a - b)² = a² - 2ab + b²

Solution :-

Consider (2q-3z)² - 2(2q-3z)(q-3z) + (q-3z)²

Let 2q - 3z = x and q - 3z = b, so above can be rewritten as

⇛ x² - 2 × x × y + y²

⇛ (x - y)²

⇛ (2q - 3z - q + 3z)² [on substituting the value of x and y]

⇛ q²

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Answer 2

Answer:

(2q-3z) ²-2(2q-3z)(q-3z)(q-3z)+(q-3z)²