Question

(1/2x-(-2/5)(1/2x+(-2/5y)​

Answer 1

${\sf{\green{\underline{\overline{Answer:-}}}}}$

☘ғᴀᴄᴛᴏʀɪsᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴇxᴘʀᴇssɪᴏɴ ɪs (2x+5ʏ+1)(2x+5ʏ-1).

${\sf{\purple{\underline{\overline{Given:-}}}}}$

☘ᴘ(x) = (2x+5ʏ)² -1

${\sf{\pink{\underline{\overline{To \: find:-}}}}}$

☘ғᴀᴄᴛᴏʀɪsᴇ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴇxᴘʀᴇssɪᴏɴ.

${\sf{\orange{\underline{\overline{Solution:-}}}}}$

= (2x+5ʏ)² -1

= (2x+5ʏ)² -(1)²

= (2x+5ʏ+1)(2x+5ʏ-1)

☘ғᴀᴄᴛᴏʀɪsᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴇxᴘʀᴇssɪᴏɴ ɪs (2x+5ʏ+1)(2x+5ʏ-1).

______________________

${\sf{\blue{\underline{\overline{Important \: formulae:-}}}}}$

(ᴀ+ʙ)² = ᴀ²+ʙ²+2ᴀʙ

(ᴀ-ʙ)² = ᴀ²+ʙ²-2ᴀʙ

(ᴀ+ʙ)(ᴀ-ʙ) = ᴀ²-ʙ²

(ᴀ+ʙ)³ = ᴀ³+ʙ³+3ᴀʙ(ᴀ+ʙ)

(ᴀ-ʙ)³ = ᴀ³-ʙ³-3ᴀʙ(ᴀ-ʙ)

ᴀ³+ʙ³ = (ᴀ+ʙ)(ᴀ²+ʙ²-ᴀʙ)

ᴀ³-ʙ³ = (ᴀ-ʙ)(ᴀ²+ʙ²+ᴀʙ)

(ᴀ+ʙ)² = (ᴀ-ʙ)²+4ᴀʙ

(ᴀ-ʙ)² = (ᴀ+ʙ)²-4ᴀʙ

${\sf{\purple{\underline{\overline{☘Thanks}}}}}$