Question

factorise 9(x+y)^2-x^2 using algebraic identities


pls do fast....it is very urgent​

Answer 1

✎Answer:

8x²+9y²+18xy✓

✎Step by step explanation:

☃Step 1:

$9 {(x + y)}^{2} - {x}^{2}$

☃Step 2:

$=9( {x}^{2} + {y}^{2} + 2xy) - {x}^{2}$

⚘Info:

property used while solving 2 step:

(a+b)²=a²+b²+2ab

☃Step 3:

$=9 {x}^{2} + 9 {y}^{2} + 18xy - {x}^{2}$

☃Step 4:

$=8 {x}^{2} + 9 {y}^{2} + 18xy✓$

✎Some more formals related to this question:

→(a-b)²=a²+b²-2ab

→(a-b)(a+b)=a²-b²

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

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

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

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

→(a+b)³=a³+b³+3ab(a+b)

→(a-b)³=a³+b³-3ab(a-b)

→a³ - b³ = (a - b)(a²+ ab + b²)

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With regards!

Dull Star~

Answer 2

Step-by-step explanation:

9 × x^2 + y^2 + 2xy - x^2

8x^2 + y^2 + 2xy.........