Question

$(x + 2y + 3)(4x + 5y)$
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Answer 1

Solution:-

$↝(x + 2y + 3)(4x + 5y)$

$↝x(4x + 5y) + 2y(4x + 5y) + 3(4x + 5y)$

$↝4 {x}^{2} + 5xy + 8xy + 10 {y}^{2} + 12x + 15y$

• Adding the like terms.

$↝4 {x}^{2} + 10 {y}^{2} + 13xy + 12x + 15y$

• Hence your required answer is 4x²+10y²+13xy+12x+15y

Hope it helps you ✔️

Answer 2

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$\bf (x + 2y + 3)(4x + 5y)$

$\bf = (x \times 4x) + (x \times 5y) + (2y \times 4x) + (2y \times 5y) + (3 \times 4x) + (3 \times 5y)$

$\bf = ({4x}^{2}) + (5xy) + (8xy) + ( {10y}^{2} ) + (12x) + (15y)$

$\sf grouping \: all \: the \: like \: terms \: we \: get :$

$\bf = ( {4x}^{2} ) + (5xy + 8xy) + (10 {y}^{2} ) + (12x) + (15y)$

$\bf = {4x}^{2} + 13xy + {10y}^{2} + 12x + 15y$

$\bf = \underline{\underline{4x^{2} + 10y^{2} + 13xy + 12x + 15y}}$

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