Question

8. Factorise: 9x2+12xy+4y2 *
4 points
(3x-2y)2
(3x-2y)
ООО
(3x+2y)2
(3x+2y) 3​

Answer 1

Answer:

Step-by-step explanation:

(3x + 2y)^2.

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Answer 2

QUESTION:-

✯ Factorise: 9x2+12xy+4y2 * 4 points(3x-2y) 2(3x-2y) ООО (3x+2y)2 (3x+2y) 3

NOTE:- QUESTION GIVEN IS WRONG

CORRECT QUESTION,

$\sf\bold factorise\:9x^2+12xy+4y^2$

ANSWER✔

$\sf\therefore 9x^2+12xy+4y^2$

$\sf\therefore by\:understanding\:the\: equation\:we\: remember\:the\:identity,\:$

$\sf\therefore (a+b)^2=a^2+2 \times (ab) +(b)^2$

$\sf\implies (3x)^2+2 \times (3x) \times (2y)+(2y)^2$

$\sf\huge\bold NOW,$

$\sf\implies the\:identity\:in\:use\:=(a+b)^2=a^2+2 \times (ab) +(b)^2$

$\sf\large\therefore we\:get,$

$\sf\large\:implies (3x+2y)^2$

$\sf\implies \:factorised \:=\:(3x+2y)^2$

$\large{\boxed{\bf{\star \: (3x+2y)^2 \: \star}}}$

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✯ADDITIONAL INFORMATION,

FEW IDENTITIES TO LEARN,

• $\sf\therefore (a+b)^2=a^2+2ab+b^2$
• $\sf\therefore (a-b)^2=a^2-2ab+b^2$
• $\sf\therefore (a+b)(a-b)=a^2-b^2$
• $\sf\therefore (a+b)^3=a^3+b^3+3ab(a+b)$
• $\sf\therefore (a-b)^3=a^3-b^3-3ab(a-b)$
• $\sf\therefore (a+b)^2+(a-b)^2=2(a^2+b^2)$

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