Question

Using identity ; find :-(2p-5q)^2

Answer 1

Answer:

${4p}^{2} - 20pq + {25q}^{2}$

Find:

$(2p - 5q) {}^{2}$

Using identity:

$(a - b) {}^{2} = {a}^{2} - 2ab + b {}^{2}$

Solution:

$(2p - 5q) {}^{2} \\ = (2p) {}^{2} - 2 \times 2p \times 5q + (5q) {}^{2} \\ = { {2}^{2} }{p} {}^{2} - 2 \times 2p \times 5q + (5q) {}^{2} \\ = {4p}^{2} - 2 \times 2p \times 5q + (5q) {}^{2} \\ = {4p}^{2} - 2 \times 2p \times 5q + {5}^{2} {q}^{2} \\ = 4p {}^{2} - 2 \times 2p \times 5q + {25}^{2} \\ = {4}^{2} - 20pq + {25q}^{2}$

Answer 2

Answer:

4p^2 - 20pq + 25q^2

Step-by-step explanation:

• (2p - 5q)^2
• 2^2 p^2 - 2 x 2p x 5q + 5^2 q^2
• 4p^2 - 20pq + 25q^2