Question

1. Expand using the suitable identity:- ( -2x+5y-3z )]x^{2}

Answer 1

✯✯ QUESTION ✯✯

Expand using the suitable identity:- ${( -2x+5y-3z )}^{2}$

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✰✰ ANSWER ✰✰

$\longmapsto\tt{{( -2x+5y-3z )}^{2}}$

☛Using Identity : -

$\longmapsto\tt{x+y+z={x}^{2}+{y}^{2}+{x}^{2}+2xy+2yz+2yz+2zx}$

$\longmapsto\tt{{(-2)}^{2}+{(5y)}^{2}+{(-3)}^{2}+2(-2x)(5y)}$

$\tt{+2(5y)(-3z)+2(-3z)(-2x)}$

$\longmapsto\tt{{4x}^{2}+{25y}^{2}+{9}^{2}-20xy-30yz+12zx}$

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☛Some More Identities : -

➙( x+y )³=x³+ y³+ 3xy (x+y)

➙(x-y)³=x³- y³- 3xy (x-y)