(A) To find the product of $(3-2 x)(3+2 x)$,we use the algebraic identity: $(a-b)(a+b) = a^{2}-b^{2}$.Here,$a = 3$ and $b = 2x$.Substituting these val

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(A) To find the product of $(3-2 x)(3+2 x)$,we use the algebraic identity: $(a-b)(a+b) = a^{2}-b^{2}$.Here,$a = 3$ and $b = 2x$.Substituting these values into the identity:$(3-2 x)(3+2 x) = (3)^{2} - (2x)^{2}$.Calculating the squares:$(3)^{2} = 9$ and $(2x)^{2} = 4x^{2}$.Therefore,the product is $9 - 4x^{2}$.

Class 9 Mathematics Polynomials Textbook - Polynomials

Easy

Use suitable identities to find the products: $(3-2 x)(3+2 x)$

A
$9-4x^{2}$
B
$9+4x^{2}$
C
$9-2x^{2}$
D
$3-4x^{2}$

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Textbook - Polynomials

Factorise $y^2 - 5y + 6$ by using the Factor Theorem.

Medium

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Find the zero of the polynomial: $p(x) = 3x - 2$.

Easy

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Write the degree of each of the following polynomials:
$(i)$ $5x^3 + 4x^2 + 7x$
$(ii)$ $4 - y^2$

Easy

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Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = lx + m, \, x = -\frac{m}{l}$

Easy

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Write the coefficients of $x^2$ in each of the following:
$(i)$ $\frac{\pi}{2} x^2 + x$
$(ii)$ $\sqrt{2} x - 1$

Easy

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Use suitable identities to find the products: $(3-2 x)(3+2 x)$

Similar Questions

Factorise $y^2 - 5y + 6$ by using the Factor Theorem.

Find the zero of the polynomial: $p(x) = 3x - 2$.

Write the degree of each of the following polynomials:$(i)$ $5x^3 + 4x^2 + 7x$$(ii)$ $4 - y^2$

Verify whether the following is a zero of the polynomial indicated against it:$p(x) = lx + m, \, x = -\frac{m}{l}$

Write the coefficients of $x^2$ in each of the following:$(i)$ $\frac{\pi}{2} x^2 + x$$(ii)$ $\sqrt{2} x - 1$

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Write the degree of each of the following polynomials:
$(i)$ $5x^3 + 4x^2 + 7x$
$(ii)$ $4 - y^2$

Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = lx + m, \, x = -\frac{m}{l}$

Write the coefficients of $x^2$ in each of the following:
$(i)$ $\frac{\pi}{2} x^2 + x$
$(ii)$ $\sqrt{2} x - 1$