Question 3 of 27intermediate🔧 ApplyNumerical4 marks

Expand (i) (a+ab−3b2)(a + ab - 3b^2) (4+b)(4 + b), and (ii) (4y+7)(4y + 7) (y+11z−3)(y + 11z - 3).

(i)

(a+ab−3b2)(4+b)(a + ab - 3b^2)(4 + b)

Answer

4a+5ab+ab2−12b2−3b34a + 5ab + ab^2 - 12b^2 - 3b^3

(ii)

(4y+7)(y+11z−3)(4y + 7)(y + 11z - 3)

Answer

4y2+44yz−5y+77z−214y^2 + 44yz - 5y + 77z - 21

Explanation

(i) Multiply each term: 4a+ab+4ab+ab2−12b2−3b3=4a+5ab+ab2−12b2−3b34a + ab + 4ab + ab^2 - 12b^2 - 3b^3 = 4a + 5ab + ab^2 - 12b^2 - 3b^3 (ii) Multiply each term: 4y2+44yz−12y+7y+77z−21=4y2+44yz−5y+77z−214y^2 + 44yz - 12y + 7y + 77z - 21 = 4y^2 + 44yz - 5y + 77z - 21