Question

Expand: (5 + 6)

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$(5x + 6y) {}^{2}$
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Answer 1

$\sf \mathrm \color{blue}Question\: Correction$

$expand \: ( {5x + 6)}^{2}$

$\sf \mathrm \color{yellow}To\:Find$

(5x+6)²

$\sf \mathrm \color{pink}Solution$

There is a formula to find the value of (5+6) ²

(5+6) ²=5²+6²+2×5×6

(5+6) ²=25+36+60

(5+6) ²=106

$\sf \mathrm \color{green}Formula\:used$

(a+b) ²=a²+b²+2×a×b

$\sf \mathrm \color{orange}More\:Information$

(a+b) ²= a²+b²+2ab

(a-b) ² = a²+b²-2ab

a²-b²=(a+b) (a-b)

(a+b) ²-(a-b) ²=4ab

(a+b) ²+(a-b) ²=2(a²+b²)

a²+b²=(a+b) ²-2ab

(a+b) ³=a³+3a²b+3ab²+b³

(a-b) ³=a³-b³-3ab(a-b)

a³+b³=(a+b) (a²-ab+b²)

a³-b³=(a+b) (a²+ab+b²)

(a+b+c) ²=a²+b²+c²+2ab+2bc+2ca

a³+b³+c³-3abc=(a+b+c) (a²+b²+c²-ab-bc-ca)