Question

please answer these questions with solutions​

Answer 1

Answer:

Please refer to the attachment above

hope this helps!!

Answer 2

Answer:

(i) (a + b) (a + c)

(ii) $(a +b ) (x^2 + y^2)$

(iii) (1 + a) (1 + ac)

(iv) (y - p) (x + q)

Step-by-step explanation:

(i)

$a^2 + bc + ab + ac \\ = a^2 + ab + ac + bc \\ = a (a + b) + c (a + b) \\ = (a + b) (a + c)$

(ii)

$ax^2 + by^2 + bx^2 + ay^2 \\= ax^2 + bx^2 + ay^2 + by^2\\= x^2 (a + b) + y^2 (a + b) \\= (a + b) (x^2 + y^2)$

(iii)

$1 + a + ac + a^2c \\= 1 ( 1 + a) + ac (1 + a) \\\= (1 + a) (1 + ac)$

(iv)

$xy - pq + qy - px\\= xy - px + qy - pq \\= x (y - p) + q(y - p)\\= (y - p)(x+ q)$