Question

factorise
(1) -8abc+4a^2b-10ab^2
(2)ax +by +bx+ay
(3)ab-ac-b^2+bc

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Answer 1

Answer:

2. (a+b) (x+y)

3. (a-b) (b-c)

Process:-

2.

ax+by+bx+ay

=> ax + bx + ay + by {rearrange the values}

=> x(a+b) +y(a+b) {take x and y common in both cases respectively}

=>( a+b) (x+y) { take (a+b) common}

the answer thus is (a+b) (x+y)

3. ab- ac- b² + bc

=> a (b-c) -b(b-c) { take a and -b common }

=> (b-c) (a-b) {take (b-c) common}

the answer thus is (b-c) (a-b)

There is something wrong with the question 1 given. Thus I couldn't solve it..

Hope my answer is self explanatory and helps!