Expand each of the following,using suitable i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) To expand $(2x - y + z)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.Here,$a = 2x$,$b = -y$,and $c = z$.S

Vedclass · Accepted Answer

$4x^2 + y^2 + z^2 - 4xy - 2yz + 4zx$

Vedclass · Answer

(A) To expand $(2x - y + z)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.Here,$a = 2x$,$b = -y$,and $c = z$.Substituting these values into the identity:$(2x - y + z)^2 = (2x)^2 + (-y)^2 + (z)^2 + 2(2x)(-y) + 2(-y)(z) + 2(z)(2x)$Calculating each term:$(2x)^2 = 4x^2$$(-y)^2 = y^2$$(z)^2 = z^2$$2(2x)(-y) = -4xy$$2(-y)(z) = -2yz$$2(z)(2x) = 4zx$Combining these,we get:$(2x - y + z)^2 = 4x^2 + y^2 + z^2 - 4xy - 2yz + 4zx$.

Expand each of the following,using suitable identities: $(2x - y + z)^2$

Similar Questions

Find the value of the polynomial $5x - 4x^2 + 3$ at $x = 0$.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $x^{10} + y^{3} + t^{50}$

Factorise: $8 a^{3}+b^{3}+12 a^{2} b+6 a b^{2}$

Find the value of the polynomial $p(x) = 5x - 4x^2 + 3$ at $x = 2$.

Determine which of the following polynomials has $(x + 1)$ as a factor: $x^{3} + x^{2} + x + 1$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module