Question

!!!!!!!!!!!!MATHS!!!!!!!!!!!!



answer the question attached


refer my previous math question's brainliest answer (answered by itsmrperfect)





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Answer 1

(x-3y)2+12xy

Final result :

(x + 3y)2

Step by step solution :

Step 1 :

1.1 Evaluate : (x-3y)2 = x2-6xy+9y2

Trying to factor a multi variable polynomial :

1.2 Factoring x2 + 6xy + 9y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x + 3y)•(x + 3y)

Detecting a perfect square :

1.3 x2 +6xy +9y2 is a perfect square

It factors into (x+3y)•(x+3y)

which is another way of writing (x+3y)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

...

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Answer 2

Answer:

(x-3y)²+12xy

Using (a-b)²=a²+b²-2ab

Here a=x and b=3y

=>(x-3y)²+12xy

=>x²+9y²-2×(x×3y) +12xy

=>x²+9y²-6xy+12xy

=>x²+9y²+6xy

=>x²+6xy+9y²

=>x²+3xy+3xy+9y²

=>x(x+3y) +3y(x+3y)

=>(x+3y)(x+3y)

=>(x+3y)²

Answer=(x+3y)²=(x+3y)(x+3y)