Question

FACTORIES:-



16x² +25у²+ 9z²+4oxy - 24yz - 16xz


SOLVE PROPERLY, ACCURATELY....

TRY TO SOLVE FIRST THREE TERMS
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Answer 1

Step-by-step explanation:

Given Question:-

Factorise the expression

16x^2 +25y^2+40xy-24yz-16xz

Correct Question:

Factorise the expression is

16x^2 +25y^2+40xy-30yz-24xz

Solution:-

Given expression is

16x^2 +25y^2+9z^2+40xy-30yz-24xz

It can be written as

=>(4x)^2 +(5y)^2+(-3z)^2+(2×4x×5y)+(2×5y×-3z)+(2×-3z×4x)

=>It is the form of a^2+b^2+c^2+2ab+2bc+2ca

Where,

a= 4x

b=5y

c=-3z

We know that

(a+b+c)^2= a^2+b^2+c^2+2ab+2bc+2ca

=>(4x)^2 +(5y)^2+(-3z)^2+(2×4x×5y)+(2×5y×-3z)+(2×-3z×4x)

=>(4x+5y+(-3z))^2

=>(4x+5y-3z)^2

=>(4x+5y-3z)(4x+5y-3z)

Answer:-

The factorization of the given problem is

(4x+5y-3z)(4x+5y-3z)

Used formula:-

• (a+b+c)^2= a^2+b^2+c^2+2ab+2bc+2ca