Question

factorize : (x-a)² + 5(x-a)(y-b) - 36(y-b)²​

Answer 1

Answer:

hi

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(((x-a)2)+((5•(x-a))•(y-b)))-36•(y-b)2

STEP

2

:

Equation at the end of step 2

(((x-a)2)+(5•(x-a)•(y-b)))-36•(y-b)2

STEP

3

:

Equation at the end of step 3

(((x-a)2)+5•(x-a)•(y-b))-36•(y-b)2

STEP

4

:

4.1 Evaluate : (y-b)2 = y2-2yb+b2

Final result :

x2 - 2xa + 5xy - 5xb + a2 - 5ay

hope it help you:)

Answer 2

Step-by-step explanation:

36*1= 36

9*4 = 36

9-4=5

9(x-a)(y-b)-4(x-a)(y-b)=5(x-a)(y-b)

so, we can write the equation as

(x-a)² + 9(x-a)(y-b)-4(x-a)(y-b) - 36(y-b)²

={(x-a)² + 9(x-a)(y-b)} - {4(x-a)(y-b) + 36(y-b)²}

= (x-a){(x-a) + 9(y-b)} - 4(y-b){(x-a) + 9(y-b)}

= {(x-a) - 4(y-b)} {(x-a) + 9(y-b)}