Question

49 x square - 70 X Y + 25 y square​

Answer 1

Step-by-step explanation:

7x2 + 5y2 - 2*7x*5y

Ans: (7x-5y)square

Answer 2

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Factorise - 49x² - 70xy + 25y²

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Identity to be used ⟶ (a + b)² = a² + 2ab + b²

⇒ a² = 49x²    

a = √49x²

a = 7x

⇒ b² = 25y²

b = √25y²

b = 5y

Using Identity and substituting the values of 'a' and 'b' in it,

(7x + 5y)² = (7x)² + 2 (7x) (5y) + (5y)²

(7x + 5y)² = 49x² - 70xy + 25y²

∴ Answer = (7x + 5y)²

More to know about Algebraic Identities -

• (a + b)² = a² + 2ab + b²

• (a - b)² = a² - 2ab + b²

• a² - b² = (a +b) (a-b)

• (x + a) (x + b) = x² + (a + b) x + ab

• (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

• (a + b)³ = a³ + b³ + 3ab (a + b)

• (a - b)³ = a³ - b³ - 3ab (a + b)

• a³ + b³ + c³ = 3abc (If a + b + c = 0)

• a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)

Hope this helps uh! ♡