Question

Solve the question:

(i) am² + bm² + bn² + an²

(ii) (lm + l) + m + 1

(iii) y(y + z) + 9(y + z)

Answer 1

(i) am² + bm² + bn² + an² 

= am² + bm² + an² + bn²

= m²(a + b) + n²(a + b)

= (a + b) (m² + n²)

(ii) (lm + l) + m + 1 = lm + m + l + 1

= m(l + 1) + 1(l + 1)

= (l + l) (m + 1)

(iii) y (y + z) + 9 (y + z) 

= (y + z) (y + 9)