Mathematics: Factorize completely the expression(h+2k)²+4k²-h²

x=0, y=15Step-by-step explanation:x/2+y/5=3(5x+2y)/10=35x+2y=302y=30-5xy=(30-5x)/2....(1)we know, 5x+2y=30substituting (1)5x+2×=305x+30-5x=305x-5x=1x=0y= (30-5x)/2= 30/2=15let s check the answer,0/2+15/5=315/5=33=3LHS=RHS...

Factorize completely the expression(h+2k)²+4k²-h²

Ответ:

cyaransteenberg

30.10.2021

Mathematics

$\rm 4k(2k+ h)$

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

$\rm\implies (h+2k)^2+4k^2-h^2$

Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;

$\rm\implies h^2+4k^2+4hk + 4k^2 - h^2$

Simplify ,

$\rm\implies 8k^2+4hk$

In the above expression 4k is common in both the terms , so that ,

$\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}$

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Ответ:

CJSession

22.08.2020

Mathematics

x=0, y=15

Step-by-step explanation:

x/2+y/5=3

(5x+2y)/10=3

5x+2y=30

2y=30-5x

y=(30-5x)/2....(1)

we know, 5x+2y=30

substituting (1)

5x+2× $\frac{30-5x}{2}$ =30

5x+30-5x=30

5x-5x=1

x=0

y= (30-5x)/2= 30/2=15

let's check the answer,

0/2+15/5=3

15/5=3

3=3

LHS=RHS

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Factorize completely the expression(h+2k)²+4k²-h²

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