(A) To expand $(3a - 5b - c)^2$,we use the algebraic identity:$(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$Here,$x = 3a$,$y = -5b$,and $z = -c$.

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$9a^2 + 25b^2 + c^2 - 30ab + 10bc - 6ca$

(A) To expand $(3a - 5b - c)^2$,we use the algebraic identity:$(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$Here,$x = 3a$,$y = -5b$,and $z = -c$.Substituting these values into the identity:$(3a - 5b - c)^2 = (3a)^2 + (-5b)^2 + (-c)^2 + 2(3a)(-5b) + 2(-5b)(-c) + 2(-c)(3a)$Calculating each term:$= 9a^2 + 25b^2 + c^2 - 30ab + 10bc - 6ca$

Class 9 Mathematics Polynomials Mix Examples - Polynomials

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Expand the following:
$(3a - 5b - c)^2$

A
$9a^2 + 25b^2 + c^2 - 30ab + 10bc - 6ca$
B
$9a^2 + 25b^2 + c^2 + 30ab - 10bc + 6ca$
C
$9a^2 + 25b^2 + c^2 - 30ab - 10bc + 6ca$
D
$9a^2 + 25b^2 + c^2 + 30ab + 10bc + 6ca$

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Expand the following:$(3a - 5b - c)^2$

Similar Questions

Factorise $: 121 x^{2}-289 y^{2}$

State whether the following statement is true or false:The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

From the following polynomials,find out which of them has $(x+1)$ as a factor:$P(x) = 6x^3 + 11x^2 - 5x - 12$

Determine the degree of the following polynomial:$x^{3}-9x+3x^{5}$

With the help of the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x + 6$.

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Expand the following:
$(3a - 5b - c)^2$

State whether the following statement is true or false:
The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

From the following polynomials,find out which of them has $(x+1)$ as a factor:
$P(x) = 6x^3 + 11x^2 - 5x - 12$

Determine the degree of the following polynomial:
$x^{3}-9x+3x^{5}$