Math, asked by sahanaa76, 10 months ago

Expand the following:
i)
$(3x - 4y) {}^{3}$

ii)
$(x - 5)( x + 6)(x - 3)$

iii)
$(a - b + c {)}^{2}$

Answers

Answered by swastika07642

Answer:

Given,

to find the value of

( 3x - 4y + 5z ) ²

This can be solved using an algebraic identity ie,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

( 3x - 4y + 5z ) ² can be written as

(3x + (-4y) + 5z)²

where,

a = 3x

b = -4y

c = 5z

So,

(3x + (-4y) + 5z)²

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

= 9x² + 16y² + 25z² - 24xy - 40yz + 30xz

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Answered by rajsingh24

Step-by-step explanation:

1.(3x-4y) ^2

=9x^2-12xy-16y^2.

2. $(x - 5)( x + 6)(x - 3)$

=x^3-2x^2-33x+90.

3.(a-b+c)^2

=a^2+b^2+c^2-2ab+2ac-2bc.

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Expand the following:i) ii) iii) ​

Answers

Given,

to find the value of

( 3x - 4y + 5z ) ²

This can be solved using an algebraic identity ie,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

( 3x - 4y + 5z ) ² can be written as

(3x + (-4y) + 5z)²

where,

a = 3x

b = -4y

c = 5z

So,

(3x + (-4y) + 5z)²

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

= 9x² + 16y² + 25z² - 24xy - 40yz + 30xz

follow me.....❤❤❤❤❤

Expand the following:
i)
$(3x - 4y) {}^{3}$

ii)
$(x - 5)( x + 6)(x - 3)$

iii)
$(a - b + c {)}^{2}$