Question

Factorise
ax + a²x + aby + by - (ax+by)²

Answer 1

Given:-

• ax + a²x + aby + by - (ax + by)²

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To find:-

• Factorise the following.

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Solution:-

• Take "ax" as common from first two terms and "by" as common from second and third terms.

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→ ax + a²x + aby + by - (ax + by)²

→ ax + by + a²x + aby - (ax + by)²

→ 1(ax + by) + a(ax + by) - (ax + by)²

→ (ax + by) (1 + a - ax - by)

⠀⠀⠀⠀⠀⠀★Factorised★

Answer 2

Step-by-step explanation:

Solution :

ax - (ax + by)² + a²x + aby + by

➡ (ax + a²x) + (aby + by) - (ax + by)²

➡ ax(1 + a) + by(a + 1) - (ax + by)²

➡ (1 + a)(ax + by) - (ax + by)²

➡ (ax + by) [1 + a - (ax + by)]

➡ (ax + by)(1 + a - ax - by)