Question

10 a² - 15 b² + 20 c² factorise the expression​

Answer 1

Answer:

1 take 5 common

2 5(4a^2 - 3b^2 +4c^2)

Answer 2

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ᴡᴇ ʜᴀᴠᴇ,

$10 {a}^{2} = 2 \times 5 \times a \times a$

$15{b}^{2} = 3 \times 5 \times b \times b$

$20 {c}^{2} = 2 \times 2 \times 5 \times c \times c$

ᴛʜᴇ ᴛʜʀᴇᴇ ᴛᴇʀᴍs ʜᴀᴠᴇ $5$ ᴀs ᴀ ᴄᴏᴍᴍᴏɴ ғᴀᴄᴛᴏʀ

$10 {a}^{2} - 15 {b}^{2} + {c}^{2} = (2 \times 5 \times a \times a) - (3 \times 5 \times b \times b) + (2 \times 2 \times 5 \times c \times c)$

$= 5 \times (2 \times a \times a - 3 \times b \times b + 4 \times c \times c)$

$= 5(2 {a}^{2} - 3 {b}^{2} + 4{c}^{2} )$