(B) To calculate $85 \times 75$,we can use the algebraic identity $(a - b)(a + b) = a^2 - b^2$.We can write $85$ as $(80 + 5)$ and $75$ as $(80 - 5)$.

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(B) To calculate $85 \times 75$,we can use the algebraic identity $(a - b)(a + b) = a^2 - b^2$.We can write $85$ as $(80 + 5)$ and $75$ as $(80 - 5)$.Thus,$85 \times 75 = (80 + 5)(80 - 5)$.Using the identity $a^2 - b^2$,where $a = 80$ and $b = 5$:$= 80^2 - 5^2$$= 6400 - 25$$= 6375$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

Easy

$85 \times 75 = \ldots \ldots \ldots$

A
$6400$
B
$6375$
C
$6425$
D
$6475$

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Class 9

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Polynomials

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Mix Examples - Polynomials

Verify whether the following is True or False:
$-\frac{1}{3}$ is a zero of $3x + 1$.

Easy

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Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x - 3$.

Medium

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

Medium

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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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Factorise:
$3x^{3}-x^{2}-3x+1$

Difficult

View Solution

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$85 \times 75 = \ldots \ldots \ldots$

Similar Questions

Verify whether the following is True or False:$-\frac{1}{3}$ is a zero of $3x + 1$.

Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x - 3$.

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

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

Factorise:$3x^{3}-x^{2}-3x+1$

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Exam Paper Generator

Online Exam Module

Verify whether the following is True or False:
$-\frac{1}{3}$ is a zero of $3x + 1$.

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

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

Factorise:
$3x^{3}-x^{2}-3x+1$