Find the product of binomial and trinomial. Show your solution. Solve the following special product using the steps of the product of binomial and trinomial. 1. (3m+7)(9m²- 21m+49)

2. (x²-2x)(x⁴-2x³+4x²)

3. (2y²-7y)(4y⁴+ 14y³+49y²)

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As per questions,

(3m+7)(9m²- 21m+49)

Expanding to a³±b³ formula,

→ 3m³ + 7³

→ 3³×m³ + 7³

→ 27m³ + 343

(x²-2x)(x⁴-2x³+4x²)

→ x²(x⁴-2x³+4x²)-2x(x⁴-2x³+4x²)

→ x²x⁴-2x²x³+4x²x²-2x×x⁴+2x×2x³-8x×x²

→ x⁶-2x⁵+4x⁴-2x⁵+4x⁴-8x³

(2y²-7y)(4y⁴+ 14y³+49y²)

→ 2y²×4y⁴ + 2y²×14y³ + 2y²×49y² -7y×14y³ -7y×49y²

→ 8y⁶+28y⁵+98y⁴-28y⁵-98y⁴

As

→ 8y⁶-343y³

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.