Question

Factorisation

25x²y² + 80xyz + 64z²​

Answer 1

Answer:

25x²y²+80xyz+64z²

=(5xy+8z)(5xy+8z)

Step-by-step explanation:

25x²y²+80xyz+64z²

= (5xy)²+2×(5xy)×(8z)+(8z)²

= (5xy+8z)²

/* By algebraic identity:

a²+2ab+b² = (a+b)² */

= (5xy+8z)(5xy+8z)

•••♪

Answer 2

Answer:

Question :-

➔ 25x²y² + 80xyz + 64z²

Formula used :-

➻ a² + 2ab + b²

➻ (a + b)²

Answer :-

➔ 25x²y² + 80xyz + 64z²

➙ (5xy)² + 2 × 5xy × 8z + (8z)²

➙ (5xy + 8z)²

∴ The value of 25x²y² + 80xyz + 64z² is (5xy + 8z)²