Question

factorise 25x^2+16y^2+40xy

Answer 1

$\mathbb{ \underline{ \red{SOLUTION\: \: }}}$➡

$\bold{\underline{\pink{TO \: \: FACTORISE \: \: \: }}}$

$\bold{We \: \: know \: \: that} \\ \\ \boxed{ \bold{(a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2} }}$

$\bold{ \underline{By \: \: using \: \: this \: \: formula \: \: \: }}$

$\bold{25x {}^{2} + 16y {}^{2} + 40xy } \\ \\ \bold{ = 25x {}^{2} + 40xy + 16y {}^{2} } \\ \\ \bold{ = (5x) {}^{2} + 2 \times 5x \times 4y + (4y) {}^{2} } \\ \\ \bold{ =( 5x + 4y) {}^{2} } \\ \\ \bold{ = (5x + 4y)(5x + 4y)}$

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✝$\mathfrak{ \red{THANKS ...\: \: }}$✝

Answer 2

25x²+16y²+40xy this can be written as
25x²+40xy+16y².....
Now this is in the form of (a+b)²=a²+2ab+b²
so,25 is the square of 5 and 16 is the square of 4,so 25=5² and 16=4² now
(5x)²+2×5x×4y+(4y)²=(5x+4y)²
so the answer is (5x+4y)(5x+4y)