Factorise (i) 9x 2 + 30xy + 25y 2 (ii) 9x 2 – 30xy + 25y 2

Question

Factorise (i) 9x 2 + 30xy + 25y 2 (ii) 9x 2 &#x2013; 30xy + 25y 2

Philoid · Accepted Answer

(i) 9x² + 30xy + 25y²
= (3x)² + 2(3x)(5y) +(5y)²
= (3x +5y)²

(ii) 9x² – 30xy + 25y²
= (3x)² – 2(3x)(5y) + (5y)²= (3x – 5y)²

Factorise(i) 9x2 + 30xy + 25y2(ii) 9x2 – 30xy + 25y2