Question

factorise 4 x square + Y square + 25 z square + 4 x y - 10 Y Z - 20 z x and hence find its value when x is equal to minus 1 Y is equal to 2 and Z is equal to minus 3​

Answer 1

put the values of x y amd z in the question and solve u will get the answer

answer is 225

Answer 2

The factorization of the provided expression is $(2x+y-5z)^2$.

The value of the expression when  x=-1, y=2 and z=-3 is 225.

Step-by-step explanation:

Consider the provided expression.

$4x^2+y^2+25^2+4xy-10yz-20zx$

Rewrite the above equation.

$(2x)^2+y^2+(-5z)^2+2(2x)y+2y(-5z)+2(2x)(-5z)$

Using the formula: $(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac$

By using above formula the factorization of the provided expression is:

$(2x+y-5z)^2$

The factorization of the provided expression is $(2x+y-5z)^2$.

Substitute x=-1, y=2 and z=-3 in above expression.

$(2(-1)+2-5(-3))^2=(-2+2+15)^2\\=225$

Hence, the value of the expression when  x=-1, y=2 and z=-3 is 225.

#Learn more

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