Question

factorise x2+7xy+6y2​

Answer 1

Step-by-step explanation:

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Answer 2

i hope this answer was helpful

Algebra Examples

Popular Problems Algebra Factor x^2+7xy+6y^2

x2+7xy+6y2

For a polynomial of the form

ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is

a⋅c=1⋅6=6 and whose sum is b=7

.

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Reorder terms.

x2+6y2+7xy

Reorder

6y2

and 7xy.x2+7xy+6y2

Factor

7out of

7xy.x2+7(xy)+6y2

Rewrite

7 as 1

plus 6x2+(1+6)(xy)+6y2

Apply the distributive property.

x2+1(xy)+6(xy)+6y2

Multiply

xy by 1.x2+xy+6(xy)+6y2

Remove unnecessary parentheses.

x2+xy+6xy+6y2

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(x2+xy)+6xy+6y2

Factor out the greatest common factor (GCF) from each group.x(x+y)+6y(x+y)