(A) To expand the expression $(2 x-3)(2 x+5)$,we use the algebraic identity $(x+a)(x+b) = x^2 + (a+b)x + ab$.Here,let $X = 2x$,$a = -3$,and $b = 5$.Su

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(A) To expand the expression $(2 x-3)(2 x+5)$,we use the algebraic identity $(x+a)(x+b) = x^2 + (a+b)x + ab$.Here,let $X = 2x$,$a = -3$,and $b = 5$.Substituting these values into the identity:$(2x - 3)(2x + 5) = (2x)^2 + (-3 + 5)(2x) + (-3)(5)$$= 4x^2 + (2)(2x) - 15$$= 4x^2 + 4x - 15$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

Easy

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

A
$4 x^{2}+4 x-15$
B
$4 x^{2}-4 x-15$
C
$4 x^{2}+4 x+15$
D
$4 x^{2}-4 x+15$

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From the following polynomials,find out which of them has $(x+1)$ as a factor:
$x^{3} + 10x^{2} + 23x + 14$

Medium

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Evaluate $(555)^{2}$.

Medium

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Without actually calculating the cubes,find the value of each of the following:
$(0.2)^{3} - (0.3)^{3} + (0.1)^{3}$

Easy

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Using long division,find the quotient and the remainder when the polynomial $x^{4}+1$ is divided by $x+1$.

Medium

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Check whether $g(x)$ is a factor of $p(x)$ or not,where $p(x) = 8x^3 - 6x^2 - 4x + 3$ and $g(x) = \frac{x}{3} - \frac{1}{4}$.

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

Similar Questions

From the following polynomials,find out which of them has $(x+1)$ as a factor:$x^{3} + 10x^{2} + 23x + 14$

Evaluate $(555)^{2}$.

Without actually calculating the cubes,find the value of each of the following:$(0.2)^{3} - (0.3)^{3} + (0.1)^{3}$

Using long division,find the quotient and the remainder when the polynomial $x^{4}+1$ is divided by $x+1$.

Check whether $g(x)$ is a factor of $p(x)$ or not,where $p(x) = 8x^3 - 6x^2 - 4x + 3$ and $g(x) = \frac{x}{3} - \frac{1}{4}$.

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From the following polynomials,find out which of them has $(x+1)$ as a factor:
$x^{3} + 10x^{2} + 23x + 14$

Without actually calculating the cubes,find the value of each of the following:
$(0.2)^{3} - (0.3)^{3} + (0.1)^{3}$