Question

solve Equation 25x^2+9y^2+30xy​

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

Solve equation:

$25x²+9y²+30xy$

$\huge\bold{\mathtt{To\:find⇒}}$

$\huge\bold{\mathtt{Solution⇒}}$

We know that:

$\large\boxed{a²+b²+2ab= (a+b)²}$

$25x²+9y²+30xy$

We can write:

• $25x²$ as $(5x)²$

• $9y²$ as $(3y)²$

• $30xy$ as $(2×5x×3y)$

$∴\:25x²+9y²+30xy$

$=(5x)²+(3y)²+(2×5x×3y)$

Use the formula of ${(a+b)²}$,

Where

• $a=5x$

• $b=3y$

So we can say-

$(5x)²+(3y)²+(2×5x×3y)$

$=(5x+3y)²$

$\huge\bold{\mathtt{Hence⇒}}$

$25x²+9y²+30xy= (5x+3y)²$

$\huge\bold{\mathtt{Therefore⇒}}$

The solution of $25x²+9y²+30xy$ is $(5x+3y)².$

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$