Tutorial

Topic : Algebraic Expressions: Multiplication

Find the product of the terms 2x²y², 3y²z and –z²x³

Step 1 : 2x²y², 3y²z and –z²x³ (Given Question)

Step 2 : 2x²y² x 3y²z x –z²x³ (Multiplication sign used in-between the expressions)

Step 3 : (+) (+) (-) x (2 x 3 x 1) (x²y²) (y²z) (z²x³). (Separated by signs first +,+,-, next separated by numbers 2x3x1, last separated by algebraic expressions)

Step 4 : 6 x² x³ x y² y² X z x z² (Multiply the signs first, here we will get +x+x- = -, next multiply the numbers, here we will get 2 x 3 x 1 = 6); last multiply combined algebraic expressions by using the exponent law or formula)

Step 5 : - 6 x⁵ y⁴ z³ (Using Exponent formula, we will get x² x x³ = x²⁺³ = x² ; y² x y² = y²⁺² = y⁴; z x z² = z¹⁺² = z³)

Step 6 : Therefore - 6 x5 y4 z3 is an answer.

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