Find the product of x - y - z - p and xyz pA- 2 x y z p-x y z2 p-x y z p2B- x2 y z p-x y2 z p-x y z2 p-x y z p2- 2 xyzp - xyz 2 p - xyzp 2D- x2 y z p-x y2 z p-x y z2 p-x y z p2

The correct option is B x^2 yzp + xy^2 zp xyz^2 p + xyz p^2 (x+y z+p)(xyzp) = (xyzp)× x+(xyzp)× y (xyzp)× z+(xyzp)× p = x^2 yzp + xy^2 zp xyz^2 p + xyz p^ ...

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Byju's Answer

Standard IX

Mathematics

Multiplication of Polynomials

Find the prod...

Question

Find the product of $(x + y - z + p)$ and $x y z p$ .

$x^{2} y z p + x y^{2} z p - x y z^{2} p + x y z p^{2}$

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$x^{2} y z p + x y^{2} z p + x y z^{2} p + x y z p^{2}$

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$2 x y z p - x y z^{2} p + x y z p^{2}$

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$2 x y z p + x y z^{2} p + x y z p^{2}$

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Solution

The correct option is A
$x^{2} y z p + x y^{2} z p - x y z^{2} p + x y z p^{2}$

$(x + y - z + p) (x y z p)$

= $(x y z p) \times x$ $+$ $(x y z p) \times y$ $-$ $(x y z p) \times z$ $+$ $(x y z p) \times p$

= $x^{2} y z p + x y^{2} z p - x y z^{2} p + x y z p^{2}$

Suggest Corrections

Find the product of (x+y−z+p) and xyzp.

The correct option is A x2yzp+xy2zp−xyz2p+xyzp2 (x+y−z+p)(xyzp) = (xyzp)×x+(xyzp)×y−(xyzp)×z+(xyzp)×p = x2yzp+xy2zp−xyz2p+xyzp2

Find the product of $(x + y - z + p)$ and $x y z p$ .

The correct option is A
$x^{2} y z p + x y^{2} z p - x y z^{2} p + x y z p^{2}$

$(x + y - z + p) (x y z p)$

= $(x y z p) \times x$ $+$ $(x y z p) \times y$ $-$ $(x y z p) \times z$ $+$ $(x y z p) \times p$

= $x^{2} y z p + x y^{2} z p - x y z^{2} p + x y z p^{2}$